Holdings: Dynamics in engineering practice

Dynamics in engineering practice:

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Bibliographic Details
Main Author:	Childs, Dara (Author)
Format:	Book
Language:	English
Published:	Boca Raton Taylor & Francis 2011
Edition:	10. ed.
Series:	Computational mechanics & applied analysis series
Subjects:	Dynamics Technische Mechanik
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturangaben ; "A CRC title."
Physical Description:	XV, 374 p.
ISBN:	9781439831250

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Record in the Search Index

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adam_text	IMAGE 1 CONTENTS ... PREFACE ..................................................................................................................................................................................... XIU 1 . INTRODUCTION AND FUNDAMENTALS ..................................................................................................................................... 1 1.1 INTRODUCTION ............................................................................................................................................................. 1 1.2 A SHORT HISTORY OF DYNAMICS ................................................................................................................................ 1 1.3 UNITS .......................................................................................................................................................................... 3 2 . PLANAR KINEMATICS OF PARTICLES ........................................................................................................................................ 7 2.1 INTRODUCTION ............................................................................................................................................................. 7 2.2 MOTION IN A STRAIGHT LINE ....................................................................................................................................... 7 2.2.1 DISTANCE TRAVELED ....................................................................................................................................... 9 2.3 PARTICLE MOTION IN A PLANE: CARTESIAN COORDINATES ...................................................................................... 10 2.4 COORDINATE TRANSFORMATIONS: RELATIONSHIPS BETWEEN COMPONENTS OF A VECTOR IN TWO COORDINATE SYSTEMS ................................................................................................................................. 12 2.5 PARTICLE MOTION IN A PLANE: POLAR COORDINATES .................................................................................................. 14 2.6 PARTICLE MOTION IN A PLANE: NORMAL-TANGENTIAL (PATH) COORDINATES ......................................................... 17 2.7 MOVING BETWEEN CARTESIAN, POLAR, AND PATH-COORDINATE DEFINITIONS FOR VELOCITY AND ACCELERATION COMPONENTS ....................................................................................................................... 20 2.7.1 AN EXAMPLE THAT 1S NATURALLY ANALYZED WITH CARTESIAN COMPONENTS .......................................... 20 2.7.2 AN EXAMPLE THAT 1S NATURALLY ANALYZED USING POLAR COORDINATES ................................................ 23 2.7.3 AN EXAMPLE THAT 1S NATURALLY ANALYZED WITH PATH-COORDINATE COMPONENTS .............................. 24 2.8 TIME-DERIVATIVE RELATIONSHIPS IN TWO COORDINATE SYSTEMS ..................................................................... 26 2.9 VELOCITY AND ACCELERATION RELATIONSHIPS IN TWO CARTESIAN COORDINATE SYSTEMS ....................................... 28 2.9.1 COMPARISONS TO POLAR-COORDINATE DEFINITIONS .................................................................................... 30 2.9.2 COORDINATE-SYSTEM EXPRESSIONS FOR KINEMATIC EQUATIONS .............................................................. 30 2.9.3 COORDINATE SYSTEM OBSERVERS ................................................................................................................ 31 2.10 RELATIVE POSITION, VELOCITY, AND ACCELERATION VECTORS BETWEEN TWO POINTS IN THE SAME COORDINATE SYSTEM .......................................................................................................................... 32 2.1 1 SUMMARY AND DISCUSSION ................................................................................................................................... 36 PROBLEMS ............................................................................................................................................................................ 37 3 . PLANAR KINETICS OF PARTICLES ........................................................................................................................................... 43 3.1 INTRODUCTION .......................................................................................................................................................... 43 NOMENCLATURE ........................................................................................................................................................ 43 3.2 DIFFERENTIAL EQUATIONS OF MOTION FOR A PARTICLE MOVING IN A STRAIGHT LINE: AN INTRODUCTION TO PHYSICAL MODELING .............................................................................................................. 45 ............................................................. 3.2.1 CONSTANT ACCELERATION: FREE FALL OF A PARTICLE WITHOUT DRAG 45 .............................................................. 3.2.2 ACCELERATION AS A FUNCTION OF DISPLACEMENT: SPRING FORCES 47 ......................... 3.2.2.1 DERIVING THE EQUATION OF MOTION STARTING WITH THE SPRING UNDEFLECTED 47 ..................................... 3.2.2.2 DERIVING THE EQUATION OF MOTION FOR MOTION ABOUT EQUILIBRIUM 48 3.2.2.3 DEVELOPING A TIME SOLUTION FOR THE EQUATION OF MOTION ................................................... 50 .................................................................. 3.2.2.4 DEVELOPING A SOLUTION FOR Y AS A FUNCTION OF Y 51 ........................................................................... 3.2.2.5 NEGATIVE SIGN FOR THE STIFFNESS COEFFICIENT 52 ................................................................................................. 3.2.3 ENERGY DISSIPATION: VISCOUS DAMPING 52 3.2.3.1 VISCOUS DAMPER ........................................................................................................................ 52 ............................. 3.2.3.2 DERIVING THE EQUATION OF MOTION FOR A MASS-SPRING-DAMPER SYSTEM 53 3.2.3.3 MOTION ABOUT THE EQUILIBRIUM POSITION ............................................................................. 53 IMAGE 2 ... VLLL CONTENTS 3.2.3.4 DEVELOPING A TIME SOLUTION FOR THE EQUATION OF MOTION .................................................. 53 ......................................................................................................... 3.2.3.5 CHARACTERIZING DAMPING 58 ..................................................... 3.2.3.6 SOLUTION FOR Y AS A FUNCTION OF Y INCLUDING DAMPING? 59 ....................................................................... 3.2.3.7 NEGATIVE DAMPING AND DYNAMIC INSTABILITY 60 3.2.4 BASE EXCITATION FOR A SPRING-MASS-DAMPER SYSTEM ............................................................................ 60 ........................................................................................... 3.2.4.1 DERIVING THE EQUATION OF MOTION 60 ................................................................................ 3.2.4.2 RELATIVE MOTION DUE TO BASE EXCITATION 64 3.2.5 HARMONIC EXCITATION FOR A IDOF, SPRING-MASS-DAMPER SYSTEM: SOLUTION FOR MOTION IN THE FREQUENCY DOMAIN ....................................................................................................................... 65 .......................................................................................................................... 3.2.5.1 BASE EXCITATION 69 3.2.5.2 STEADY-STATE RELATIVE MOTION DUE TO BASE EXCITATION ......................................................... 71 ................................................................................................ 3.2.5.3 ROTATING-IMBALANCE EXCITATION 71 3.2.5.4 SUMMARY AND EXTENSIONS ........................................................................................................ 74 3.2.6 ENERGY DISSIPATION: COULOMB DAMPING .............................................................................................. 75 3.2.7 QUADRATIC DAMPING: AERODYNAMIC DRAG .......................................................................................... 77 3.2.7.1 TENNINAL VELOCITY CALCULATION ............................................................................................. 78 ................................................................................................................................. 3.2.8 CLOSURE AND REVIEW 80 3.3 MORE MOTION IN A STRAIGHT LINE: DEGREES OF FREEDOM AND EQUATIONS OF KINEMATIC CONSTRAINTS .................................................................................................................................. 81 .............................................................. 3.3.1 PULLEYS: EQUATIONS OF MOTION AND EQUATIONS OF CONSTRAINT 81 .............................................................................. 3.3.2 LINKAGE PROBLEMS: MORE EQUATIONS OF CONSTRAINT 85 3.4 MOTION IN A PLANE: EQUATIONS OF MOTION AND FORCES OF CONSTRAINT .............................................................. 88 3.4.1 CARTESIAN-COORDINATE APPLICATIONS: TRAJECTORY MOTION IN A VERTICAL PLANE .................................... 89 3.4.1.1 DRAG-FREE MOTION ..................................................................................................................... 89 3.4.1.2 TRAJECTORY MOTION WITH AERODYNARNIC DRAG ......................................................................... 91 3.4.1.3 TRAJECTORY MOTION AND COULOMB DRAG .................................................................................. 92 3.4.2 POLAR-COORDINATE APPLICATIONS ............................................................................................................... 92 3.4.2.1 PARTICLE SLIDING ON THE INSIDE OF A HORIZONTAL CYLINDER WITHOUT FRICTION ....................... 92 3.4.2.2 PARTICLE SLIDING ON THE INSIDE OF A HORIZONTAL CYLINDER WITH COULOMB FRICTION ....................................................................................................................................... 93 3.4.2.3 THE SIMPLE PENDULUM ............................................................................................................. 95 3.4.2.4 THE SIMPLE PENDULUM WITH DAMPING ............................................................................. 96 3.4.3 PATH-COORDINATE APPLICATIONS ................................................................................................................ 98 3.4.4 SUMMARY AND OVERVIEW ....................................................................................................................... 100 3.5 PARTICLE KINETICS EXAMPLES WITH MORE THAN ONE DEGREE OF FREEDOM ...................................................... 101 3.5.1 DEVELOPING EQUATIONS OF MOTION FOR PROBLEMS HAVING MORE THAN ONE DEGREE OF FREEDOM .............................................................................................................................................. 101 3.5.1.1 DEVELOPING EQUATIONS OF MOTION FOR A TWO-MASS VIBRATION EXAMPLE .......................... 101 3.5.1.2 DEVELOPING EQUATIONS OF MOTION FOR A DOUBLE PENDULUM .............................................. 104 3.5.2 ANALYZING MULTI-DEGREE-OF-FREEDOM VIBRATION PROBLEMS ............................................................. 106 3.5.2.1 ANALYZING UNDAMPED TWO-DEGREE-OF-FREEDOM VIBRATION PROBLEMS ........................... 106 3.5.2.2 FREE MOTION FROM INITIAL CONDITIONS (THE HOMOGENEOUS SOLUTION) ................................ 111 3.5.2.3 MODAL DAMPING MODELS ....................................................................................................... 114 3.5.2.4 STEADY-STATE SOLUTIONS DUE TO HARMONIC EXCITATION .......................................................... 115 3.5.2.5 HARMONIC RESPONSE WITH DAMPING .................................................................................... 118 3.6 WERK-ENERGY APPLICATIONS FOR ONE-DEGREE-OF-FREEDOM PROBLEMS IN PLANE MOTION .............................. 119 3.6.1 THE WORK-ENERGY EQUATION AND ITS APPLICATION ............................................................................ 119 3.6.1.1 MORE ON SPRING FORCES AND SPRING POTENTIAL-ENERGY FUNCTIONS ..................................... 121 3.6.1.2 MORE ON THE FORCE OF GRAVITY AND THE POTENTIAL-ENERGY FUNCTION FOR GRAVITY ............ 123 3.6.2 DERIVING EQUATIONS OF MOTION FROM WORK-ENERGY RELATIONS ........................................................ 125 3.7 LINEAR-MOMENTUM APPLICATIONS IN PLANE MOTION ..................................................................................... 130 3.7.1 COLLISION PROBLEMS IN ONE DIMENSION ............................................................................................... 130 3.7.2 THE COEFFICIENT OF RESTITUTION .............................................................................................................. 132 3.7.3 COLLISION PROBLEMS IN TWO DIMENSIONS ............................................................................................. 133 IMAGE 3 CONTENTS 3.8 MOMENT OF MOMENTUM ...................................................................................................................................... 136 3.8.1 DEVELOPING THE MOMENT-OF-MOMENTUM EQUATION FOR A PARTICLE .................................................. 136 3.8.2 APPLYING CONSERVATION OF MOMENT OF MOMENTUM FOR A PARTICLE .................................................. 137 3.8.2.1 TWO PARTICLES CONNECTED BY AN INEXTENSIBLE CORD ........................................................... 137 3.8.2.2 CLOSING COMMENTS ................................................................................................................. 137 3.9 SUMMARY AND DISCUSSION .................................................................................................................................. 138 PROBLEMS .......................................................................................................................................................................... 139 4 . PLANAR KINEMATICS OF RIGID BODIES ........................................................................................................................... 155 4.1 INTRODUCTION .................................................................................................................................................. 155 .............................................................................................................................. 4.2 ROTATION ABOUT A FIXED AXIS 155 4.3 VELOCITY AND ACCELERATION RELATIONSHIPS FOR TWO POINTS IN A RIGID BODY ................................................ 157 4.4 ROLLING WITHOUT SLIPPING .................................................................................................................................... 161 ............................................................................................................................... 4.4.1 A WHEEL ON A PLANE 161 4.4.1.1 GEOMETRIE DEVELOPMENT ................................................................................................... 161 4.4.1.2 VECTOR DEVELOPMENTS OF VELOCITY RELATIONSHIPS ............................................................. 163 4.4.1.3 VECTOR DEVELOPMENTS OF ACCELERATION RESULTS ................................................................... 164 4.4.2 A WHEEL ROLLING INSIDE OR ON A CYLINDRICAL SURFACE ....................................................................... 167 ........................................................................ 4.4.2.1 WHEEL ROLLING INSIDE A CYLINDRICAL SURFACE 167 4.4.2.2 WHEEL ROLLING ON THE OUTSIDE OF A CYLINDRICAL SURFACE ..................................................... 168 ............................................................................................................................................. 4.5 PLANAR MECHANISMS 168 4.5.1 INTRODUCTION ............................................................................................................................................ 168 .................................................................................................................. 4.5.2 A SLIDER-CRANK MECHANISM 168 4.5.2.1 GEOMETRIE APPROACH ........................................................................................................ 168 .................................................. 4.5.2.2 VECTOR APPROACH FOR VELOCITY AND ACCELERATION RESULTS 170 ............................................................................................................... 4.5.3 A FOUR-BAR-LMKAGE EXAMPLE 171 4.5.3.1 GEOMETRIC APPROACH .............................................................................................................. 172 ....................................... 4.5.3.2 VECTOR APPROACH FOR VELOCITY AND ACCELERA TION RELATIONSHIPS 174 ....................................................................................................... 4.5.4 ANOTHER SLIDER-CRANK MECHANISM 177 .............................................................................................................. 4.5.4.1 GEOMETRIE APPROACH 177 4.5.4.2 VECTOR, TWO-COORDINATE-SYSTEM APPROACH FOR VELOCITY ............................................................................................ AND ACCELERATION RELATIONSHIPS 179 ..................................................... 4.5.4.3 SOLUTION FOR THE VELOCITY AND ACCELERATION OF POINT D 181 ................................................................................................................. 4.5.4.4 CLOSING COMMENTS 182 .................................................................................................................................. 4.6 SUMMARY ARID DISCUSSION 183 PROBLEMS .......................................................................................................................................................................... 183 5 . PLANAR KINETICS OF RIGID BODIES .............................................................................................................................. 195 5.1 INTRODUCTION ................................................................................................................................................... 195 NOMENCLATURE .................................................................................................................................................. 195 ........................................................................................... 5.2 INERTIA PROPERTIES AND THE PARALLEL-AXIS FORMULA 195 ...................................................................................................... 5.2.1 CENTROIDS AND MOMENTS OF INERTIA 195 .................................................................................................................... 5.2.2 THE PARALLEL-AXIS FORMULA 197 ......................................................................... 5.3 GOVEMING FORCE AND MOMENT EQUATIONS FOR A RIGID BODY 199 5.3.1 FORCE EQUATION ........................................................................................................................................ 199 5.3.2 MOMENT EQUATION ........................................................................................................................... 201 ......................................................................... 5.3.2.1 REDUCED FORMS FOR THE MOMENT EQUATION 203 5.4 KINETIC ENERGY FOR PLANAR MOTION OF A RIGID BODY ........................................................................................ 203 .................................... 5.5 FIXED-AXIS-ROTATION APPLICATIONS OF THE FORCE, MOMENT. AND ENERGY EQUATIONS 204 5.5.1 ROTOR IN FRICTIONLESS BEARINGS: MOMENT EQUATION ...................................................................... 204 5.5.2 ROTOR IN FRICTIODESS BEARINGS: ENERGY EQUATION ......................................................................... 205 ............................................................... 5.5.3 ROTOR IN BEARINGS WITH VISCOUS DRAG: MOMENT EQUATION 205 5.5.4 ROTOR IN BEAR-NGS WITH VISCOUS DRAG: ENERGY EQUATION ........................................................... 206 5.5.5 TORSIONAL VIBRATION EXAMPLE: MOMENT EQUATION ....................................................................... 206 IMAGE 4 CONTENTS ................................................................................ 5.5.6 TORSIONAL VIBRATION EXAMPLE: ENERGY EQUATION 207 ................................................................................. 5.5.7 PULLEY/WEIGHT EXAMPLE: FREE-BODY APPROACH 208 ...................................................................................... 5.5.8 PULLEY / WEIGHT EXAMPLE: ENERGY APPROACH 209 5.5.9 AN EXAMPLE INVOLVING A DISK AND A PARTICLE: NEWTONIAN APPROACH ............................................ 209 ....................................... 5.5.10 AN EXAMPLE INVOLVING A DISK AND A PARTICLE: WORK-ENERGY APPROACH 210 5.5.11 TWO DRIVEN PULLEYS CONNECTED BY A BELT ...................................................................................... 210 ............................................. 5.5.12 TWO DRIVEN PULLEYS CONNECTED BY A BELT: WORK-ENERGY APPROACH 211 ................................................................................................................ 5.6 COMPOUND-PENDULUM APPLICATIONS 211 ................................................ 5.6.1 THE SIMPLE COMPOUND PENDULUM: EOM, LINEARIZATION, STABILITY 211 ........................................................................................ 5.6.2 THE COMPOUND PENDULUM WITH DAMPING 216 5.6.3 COMPOUND PENDULUM/SPRING AND DAMPER CONNECTIONS: LINEARIZATION AND EQUILIBRIUM .......................................................................................................... 217 5.6.3.1 COMPOUND PENDULUM WITH A SPRING ATTACHRNENT TO GROUND: ................................................................................................................... MOMENT EQUATION 217 5.6.3.2 COMPOUND PENDULUM WITH A SPRING ATTACHMENT TO GROUND: ................................................................................................................... ENERGY APPROACH 218 5.6.3.3 COMPOUND PENDULUM WITH A DAMPER ATTACHMENT TO GROUND: MOMENT EQUATION ................................................................................................................. 219 ..................................................... 5.6.3.4 BARS SUPPORTED BY SPRINGS: PRELOAD AND EQUILIBRIUM 221 ................................................................................ 5.6.3.5 CLOSING COMMENTS AND (FREE) ADVICE 224 ................................. 5.6.4 PRESCRIBED ACCELERATION OF A COMPOUND PENDULUM S PIVOT SUPPORT POINT 224 5.7 GENERAL APPLICATIONS OF FORCE, MOMENT, AND ENERGY EQUATIONS FOR PLANAR MOTION OF A RIGID BODY .............................................................................................................................................. 226 5.7.1 ROLLING-WITHOUT-SLIPPING EXAMPLES: NEWTONIAN AND ENERGY APPROACHES .................................. 226 .............. 5.7.1.1 A CYLINDER ROLLING DOWN AN INCLINED PLANE: FREE-BODY DIAGRAM APPROACH 226 5.7.1.2 A CYLINDER ROLLING DOWN AN INCLINED PLANE: WORK-ENERGY APPROACH ........................ 228 5.7.1.3 AN IMBALANCED CYLINDER ROLLING DOWN AN INCLINED PLANE: ............................................................................................................ NEWTONIAN APPROACH 229 5.7.1.4 AN IMBALANCED CYLINDER ROLLING DOWN AN INCLINED PLANE: WORK-ENERGY APPROACH .................................................................. 231 5.7.1.5 A HALF CYLINDER ROLLING ON A HORIZONTAL PLANE: NEWTONIAN APPROACH ........................ 231 5.7.1.6 A HALF CYLINDER ROTATING ON A HORIZONTAL PLANE: ENERGY APPROACH ............................. 233 5.7.1.7 A CYLINDER, RESTRAINED BY A SPRING AND ROLLING ON A PLANE: NEWTONIAN APPROACH ............................................................................................................ 234 5.7.1.8 A CYLINDER, RESTRAINED BY A SPRING AND ROLLING ON A PLANE: ENERGY APPROACH ................................................................................................................... 235 5.7.1.9 A CYLINDER ROLLING INSIDE A CYLINDRICAL SURFACE ............................................................... 235 ............................................................ 5.7.1.10 PULLEY-ASSEMBLY EXAMPLE: NEWTONIAN APPROACH 237 ................................................................... 5.7.1.1 1 PULLEY-ASSEMBLY EXAMPLE: ENERGY APPROACH 238 5.7.1.12 CLOSING COMRNENTS .............................................................................................................. 238 5.7.2 ONE DEGREE OF FREEDOM, PLANAR-MOTION APPLICATIONS, NEWTONIAN AND ENERGY APPROACHES ........................................................................................................................ 239 5.7.2.1 A UNIFORM BAR, ACTED ON BY AN EXTEMAL FORCE, MOVING IN SLOTS, AND CONSTRAINED BY SPRINGS ............................................................................................ 239 5.7.2.2 ADDING VISCOUS DAMPING TO THE SLOTS SUPPORTING THE UNIFORM BAR ............................. 241 5.7.2.3 A BAR LEANING AND SLIDING ON A SMOOTH FLOOR AND AGAINST A SMOOTH VERTICAL WALL ............................................................................................................................ 243 5.7.2.4 A BAR LEANING AND SLIDING ON A FLOOR AND AGAINST A VERTICAL WALL WITH COULOMB FRICTION .......................................................................................................... 245 5.7.2.5 SUMMARY AND DISCUSSION ................................................................................................ 246 5.7.3 MULTI-BODY, SINGLECOORDINATE APPLICATIONS OF THE WORK-ENERGY EQUATION ............................... 247 5.7.3.1 TWO BARS WITH AN APPLIED FORCE AND A CONNECTING SPRING ............................................ 247 5.7.3.2 HINGED BAR/PLATE EXAMPLE ............................................................................................... 249 5.7.3.3 A PARALLEL, DOUBLE-BAR ARRANGEMENT FOR RETRACTING A CYLINDER ..................................... 251 5.7.3.4 CLOSING COMMENTS .............................................................................................................. 252 IMAGE 5 CONTENTS 5.7.4 EXAMPLES HAVING MORE THAN ONE DEGREE OF FREEDOM ................................................................... 252 5.7.4.1 TORSIONAL VIBRATION EXAMPLES .............................................................................................. 253 5.7.4.2 BEAMS AS SPRINGS: BENDING VIBRATION EXAMPLES ............................................................. 256 5.7.4.3 THE JEFFCOTTILAVAL ROTOR MODEL ........................................................................................... 263 5.7.4.4 A TRANSLATING MASS WITH AN ATTACHED COMPOUND PENDULUM ....................................... 265 5.7.4.5 A SWINGING BAR SUPPORTED AT ITS END BY A CORD .............................................................. 267 ......................................................................................... 5.7.4.6 A DOUBLE COMPOUND PENDULUM 269 ................................................................................................................................ 5.7.5 PLANAR MECHANISMS 270 ....................................................................................................... 5.7.5.1 SLIDER-CRANK MECHANISM 271 ............................................................................................... 5.7.5.2 A FOUR-BAR-LINKAGE EXAMPLE 275 .................................................................................. 5.7.5.3 ALTERNATIVE SLIDER-CRANK MECHANISM 277 ................................................................................................................. 5.7.5.4 CLOSING COMMENTS 279 5.8 MOMENT OF MOMENTUM FOR PLANAR MOTION ..................................................................................................... 279 5.8.1 DEVELOPING MOMENT-OF-MOMENTUM EQUATIONS FOR PLANAR MOTION OF RIGID BODIES ................... 279 ................................................ 5.8.2 APPLYING MOMENT-OF-MOMENTUM EQUATIONS IN PLANAR DYNAMICS 282 5.8.2.1 TWO SPINNING WHEELS CONNECTED BY AN ADJUSTABLE-TENSION BELT .................................. 282 .................................................................. 5.8.2.2 A PARTICLE IMPACTING A COMPOUND PENDULUM 284 5.8.2.3 A SPINNING BATON STRIKING THE GROUND ............................................................................... 285 ................................................... 5.8.2.4 A ROLLING CYLINDER THAT ENCOUNTERS AN INCLINED PLANE 287 .................................................................................................................................. 5.9 SUMMARY AND DISCUSSION 288 PROBLEMS .......................................................................................................................................................................... 290 APPENDIX A: ESSENTIALS OF MATRIX ALGEBRA .................................................................................................................. 313 APPENDIX B: ESSENTIALS OF DIFFERENTIAL EQUATIONS ...................................................................................................... 315 B.L INTRODUCTION ......................................................................................................................................................... 315 ............................................................................................................................ B.2 LINEAR DIFFERENTIAL EQUATIONS 315 ................................................................................................................. B.2.1 LINEAR FIRST-ORDER EQUATION 315 ............................................... B.2.2 CONSTANT COEFFICIENT, LINEAR. SECOND-ORDER DIFFERENTIAL EQUATIONS 316 ........................................................................................... 8.2.2.1 UNDAMPED SPRING-MASS MODEL 316 ................................................................................................. B.2.2.2 SPRING-MASS-DAMPER MODEL 318 B.3 AN INTRODUCTION TO NUMERICAL INTEGRATION OF DIFFERENTIAL EQUATIONS ......................................................... 320 .......................................................................................... APPENDIX C: MASS PROPERTIES OF COMMON SOLID BODIES 323 PROBLEMS .......................................................................................................................................................................... 324 ANSWERS .......................................................................................................................................................................... 326 APPENDIX D: ANSWERS TO SELECTED PROBLEMS ............................................................................................................... 327
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id	DE-604.BV037430703
illustrated	Not Illustrated
indexdate	2024-07-09T23:24:12Z
institution	BVB
isbn	9781439831250
language	English
lccn	2010025875
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-022582780
oclc_num	731452872
open_access_boolean
owner	DE-573
owner_facet	DE-573
physical	XV, 374 p.
publishDate	2011
publishDateSearch	2011
publishDateSort	2011
publisher	Taylor & Francis
record_format	marc
series2	Computational mechanics & applied analysis series
spelling	Childs, Dara Verfasser aut Dynamics in engineering practice Dara W. Childs 10. ed. Boca Raton Taylor & Francis 2011 XV, 374 p. txt rdacontent n rdamedia nc rdacarrier Computational mechanics & applied analysis series Literaturangaben ; "A CRC title." Dynamics Technische Mechanik (DE-588)4059231-5 gnd rswk-swf Technische Mechanik (DE-588)4059231-5 s DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022582780&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Childs, Dara Dynamics in engineering practice Dynamics Technische Mechanik (DE-588)4059231-5 gnd
subject_GND	(DE-588)4059231-5
title	Dynamics in engineering practice
title_auth	Dynamics in engineering practice
title_exact_search	Dynamics in engineering practice
title_full	Dynamics in engineering practice Dara W. Childs
title_fullStr	Dynamics in engineering practice Dara W. Childs
title_full_unstemmed	Dynamics in engineering practice Dara W. Childs
title_short	Dynamics in engineering practice
title_sort	dynamics in engineering practice
topic	Dynamics Technische Mechanik (DE-588)4059231-5 gnd
topic_facet	Dynamics Technische Mechanik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022582780&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT childsdara dynamicsinengineeringpractice

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