Vibration problems in engineering:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Wiley
1974
|
| Edition: | 4. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Ab 5. Aufl. u.d.T.: Weaver, William: Vibration problems in engineering |
| Physical Description: | XIII, 521 S. |
| ISBN: | 0471873152 |
Staff View
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| adam_text | x PREFACE TO THE FIRST EDITION
which the flexibility of the system varies with time is considered in detail, and
the results of this theory are applied to the investigation of vibrations in
electric locomotives with side-rod drive
In Chapter 3, systems with several degrees of freedom are considered
The general theory of vibration of such systems is developed, and also its
application in the solution of such engineering problems as: the vibration of
vehicles, the torsional vibration of shafts, whirling speeds of shafts on several
supports, and vibration absorbers
Chapter 4 contains the theory of vibration of elastic bodies The problems
considered are: the longitudinal, torsional, and lateral vibrations of pris-
matical bars; the vibration of bars of variable cross-section; the vibrations of
bridges, turbine blades, and ship hulls; the theory of vibration of circular
rings, membranes, plates, and turbine disks
Brief descriptions of the most important vibration-recording instruments
which are of use in the experimental investigation of vibration are given in the
appendix
The author owes a very large debt of gratitude to the management of the
Westinghouse Electric and Manufacturing Company, which company made
it possible for him to spend a considerable amount of time in the preparation
of the manuscript and to use as examples various actual cases of vibration in
machines which were investigated by the company’s engineers He takes this
opportunity to thank, also, the numerous friends who have assisted him in
various ways in the preparation of the manuscript, particularly Messr J M
Lessells, J Ormondroyd, and J P Den Hartog, who have read over the
complete manuscript and have made many valuable suggestions
He is indebted, also, to Mr F C Wilharm for the preparation of drawings,
and to the Van Nostrand Company for their care in the publication of the
book
an
Ann Arbor, Michig;
May 22, 1928
S Timoshenko
CONTENTS
I
CHAPTER 1 SYSTEMS WITH ONE DEGREE OF FREEDOM 1
1 1 Free Harmonic Vibrations 1
1 2 Rotational Vibrations 13
1 3 Energy Method 23
1 4 Rayleigh Method 31
1 5 Beams and Shafts with Several Masses 42
1 6 Forced Vibrations: Steady State 48
1 7 Forced Vibrations: Transient State 58
1 8 Free Vibrations with Viscous Damping 63
1 9 Forced Vibrations with Viscous Damping 72
1 10 Equivalent Viscous Damping 81
1 11 General Periodic Disturbing Force 89
1 12 Arbitrary Disturbing Force 97
1 13 Arbitrary Support Motion 110
1 14 Response Spectra 120
1 15 Numerical Solutions for Response 129
CHAPTER 2 SYSTEMS WITH NONLINEAR CHARACTERISTICS 144
2 1 Examples of Nonlinear Systems 144
2 2 Direct Integration for Velocity and Period 159
2 3 Approximate Methods for Free Vibrations 168
2 4 Forced Nonlinear Vibrations 177
2 5 Piecewise-Linear Systems 186
2 6 Numerical Solutions for Nonlinear Systems 203
CHAPTER 3 SYSTEMS WITH TWO DEGREES OF FREEDOM 219
3 1 Examples of Two-Degree Systems 219
3 2 Action Equations: Stiffness Coefficients 225
3 3 Displacement Equations: Flexibility Coefficients 231
xi
xii CONTENTS
3 4 Inertial and Gravitational Coupling 239
3 5 Undamped Free Vibrations 247
3 6 Undamped Forced Vibrations 259
3 7 Free Vibrations with Viscous Damping 267
3 8 Forced Vibrations with Viscous Damping 272
chapter 4 SYSTEMS WITH MULTIPLE DEGREES OF
FREEDOM 279
4 1 Introduction 279
4 2 Frequencies and Mode Shapes for Undamped Systems 280
4 3 Principal and Normal Coordinates 296
4 4 Normal-Mode Response to Initial Conditions 303
4 5 Normal-Mode Response to Applied Actions 309
4 6 Normal-Mode Response to Support Motions 317
4 7 Iteration Method for Frequencies and Mode Shapes 327
4 8 Damping in Multi-Degree Systems 342
4 9 Damped Response to Periodic Excitation 346
4 10 Transient Response of Damped Systems 351
4 11 Numerical Solutions for Transient Response 355
chapter 5 VIBRATIONS OF ELASTIC BODIES 363
5 1 Introduction 363
5 2 Free Longitudinal Vibrations of Prismatic Bars 364
5 3 Forced Longitudinal Response of Prismatic Bars 373
5 4 Normal-Mode Method for Prismatic Bars 380
5 5 Prismatic Bar with a Mass or Spring at the End 387
5 6 Bars Subjected to Longitudinal Support Motions 395
5 7 Torsional Vibrations of Circular Shafts 401
5 8 Transverse Vibrations of Stretched Wires 408
5 9 Transverse Vibrations of Prismatic Beams 415
5 10 Transverse Vibrations of a Simple Beam 420
5 11 Vibrations of Beams with Other End Conditions 424
5 12 Effects of Rotary Inertia and Shearing Deformations 432
5 13 Forced Response of a Simple Beam 435
5 14 Forced Response of Beams with Other End Conditions 441
5 15 Beams Subjected to Support Motions 443
5 16 Beams Traversed by Moving Loads 448
5 17 Effect of Axial Force on Vibrations of Beams 453
5 18 Beams on Elastic Supports or Elastic Foundations 455
5 19 Ritz Method for Calculating Frequencies 459
5 20 Vibrations of Nonprismatic Beams 464
5 21 Coupled Flexural and Torsional Vibrations of Beams 471
CONTENTS
xiii
5 22 Vibrations of Circular Rings
5 23 Transverse Vibrations of Membranes
5 24 Transverse Vibrations of Plates
476
481
492
appendix:
A l
A 2
A 3
A 4
A 5
COMPUTER PROGRAMS
Introduction
Numerical Solutions for Linear Systems
Numerical Solutions for Nonlinear Systems
Iteration of Eigenvalues and Eigenvectors
Numerical Solutions for Multi-Degree Systems
503
503
503
504
505
505
INDEX
|
| any_adam_object | 1 |
| author | Timošenko, Stepan P. 1878-1972 Young, Donovan H. 1904-1980 Weaver, William 1923-2013 |
| author_GND | (DE-588)119428881 (DE-588)131446568 (DE-588)120259206 |
| author_facet | Timošenko, Stepan P. 1878-1972 Young, Donovan H. 1904-1980 Weaver, William 1923-2013 |
| author_role | aut aut aut |
| author_sort | Timošenko, Stepan P. 1878-1972 |
| author_variant | s p t sp spt d h y dh dhy w w ww |
| building | Verbundindex |
| bvnumber | BV002280493 |
| callnumber-first | T - Technology |
| callnumber-label | TA355 |
| callnumber-raw | TA355 |
| callnumber-search | TA355 |
| callnumber-sort | TA 3355 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | ZL 3050 |
| classification_tum | MTA 550 |
| ctrlnum | (OCoLC)868078 (DE-599)BVBBV002280493 |
| dewey-full | 620.3 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.3 |
| dewey-search | 620.3 |
| dewey-sort | 3620.3 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik |
| edition | 4. ed. |
| format | Book |
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| id | DE-604.BV002280493 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T07:06:33Z |
| institution | BVB |
| isbn | 0471873152 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001498539 |
| oclc_num | 868078 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-862 DE-BY-FWS DE-29T DE-706 DE-83 DE-898 DE-BY-UBR |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-862 DE-BY-FWS DE-29T DE-706 DE-83 DE-898 DE-BY-UBR |
| physical | XIII, 521 S. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Wiley |
| record_format | marc |
| spellingShingle | Timošenko, Stepan P. 1878-1972 Young, Donovan H. 1904-1980 Weaver, William 1923-2013 Vibration problems in engineering Titreşim Vibrations ram Vibration Stab (DE-588)4056679-1 gnd Platte (DE-588)4046304-7 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Maschinendynamik (DE-588)4130692-2 gnd Balkenschwingung (DE-588)4202437-7 gnd Maschinenschwingung (DE-588)4130655-7 gnd Schwingung (DE-588)4053999-4 gnd Fahrzeugschwingung (DE-588)4125547-1 gnd |
| subject_GND | (DE-588)4056679-1 (DE-588)4046304-7 (DE-588)4138305-9 (DE-588)4130692-2 (DE-588)4202437-7 (DE-588)4130655-7 (DE-588)4053999-4 (DE-588)4125547-1 |
| title | Vibration problems in engineering |
| title_auth | Vibration problems in engineering |
| title_exact_search | Vibration problems in engineering |
| title_full | Vibration problems in engineering S. Timoshenko ; D. H. Young ; W. Weaver |
| title_fullStr | Vibration problems in engineering S. Timoshenko ; D. H. Young ; W. Weaver |
| title_full_unstemmed | Vibration problems in engineering S. Timoshenko ; D. H. Young ; W. Weaver |
| title_short | Vibration problems in engineering |
| title_sort | vibration problems in engineering |
| topic | Titreşim Vibrations ram Vibration Stab (DE-588)4056679-1 gnd Platte (DE-588)4046304-7 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Maschinendynamik (DE-588)4130692-2 gnd Balkenschwingung (DE-588)4202437-7 gnd Maschinenschwingung (DE-588)4130655-7 gnd Schwingung (DE-588)4053999-4 gnd Fahrzeugschwingung (DE-588)4125547-1 gnd |
| topic_facet | Titreşim Vibrations Vibration Stab Platte Mechanische Schwingung Maschinendynamik Balkenschwingung Maschinenschwingung Schwingung Fahrzeugschwingung |
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Indexes
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 UF 5200 T585 |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |