Nonsmooth dynamics of contacting thermoelastic bodies:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
[2009]
|
| Schriftenreihe: | Advances in mechanics and mathematics
VOLUME 16 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Erscheint: Januar 2009 |
| Beschreibung: | XVII, 241 Seiten Illustrationen, Diagramme |
| ISBN: | 9780387096520 |
Internformat
MARC
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| 100 | 1 | |a Awrejcewicz, Jan |d 1952- |e Verfasser |0 (DE-588)120089122 |4 aut | |
| 245 | 1 | 0 | |a Nonsmooth dynamics of contacting thermoelastic bodies |c by Jan Awrejcewicz ; Yuriy Pyr'yev |
| 264 | 1 | |a New York, NY |b Springer |c [2009] | |
| 300 | |a XVII, 241 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Advances in mechanics and mathematics |v VOLUME 16 | |
| 500 | |a Erscheint: Januar 2009 | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Contact mechanics | |
| 650 | 4 | |a Contact mechanics |x Mathematical models | |
| 650 | 4 | |a Friction | |
| 650 | 4 | |a Heat |x Conduction | |
| 650 | 4 | |a Inertia (Mechanics) | |
| 650 | 4 | |a Mechanical wear | |
| 650 | 4 | |a Nonsmooth optimization | |
| 650 | 4 | |a Thermal stresses | |
| 650 | 4 | |a Thermoelasticity | |
| 650 | 0 | 7 | |a Thermoelastizität |0 (DE-588)4185143-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtglatte Mechanik |0 (DE-588)4201235-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontaktmechanik |0 (DE-588)4798356-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kontaktmechanik |0 (DE-588)4798356-5 |D s |
| 689 | 0 | 1 | |a Thermoelastizität |0 (DE-588)4185143-2 |D s |
| 689 | 0 | 2 | |a Nichtglatte Mechanik |0 (DE-588)4201235-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Pyr'yev, Yuriy |e Verfasser |0 (DE-588)1194031064 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-0-387-09653-7 |
| 830 | 0 | |a Advances in mechanics and mathematics |v VOLUME 16 |w (DE-604)BV017903734 |9 16 | |
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Datensatz im Suchindex
| _version_ | 1804138357958115328 |
|---|---|
| adam_text | Contents
Preface
............................................................ ix
Nomenclature
...................................................... xv
1
Introduction
................................................... 1
1.1
Object of the study
......................................... 1
1.1.1
Equations of motion of bodies in contact
................ 1
1.1.2
Boundary and contact conditions
....................... 9
1.1.3
Dynamics of contacting bodies
........................ 17
1.1.4
Contact thermoelasticity
.............................. 21
1.1.5
On some equations governing discontinuous systems
dynamics
........................................... 25
1.2
Aim and scope
............................................ 30
2
Thermoelastic Contact of Shaft and Bush
in Wear Regime
............................................... 31
2.1
Analysed system
........................................... 31
2.2
Mathematical formulation of the problem
...................... 33
2.2.1
Equations for rotational movement of absolutely rigid bush
33
2.2.2
Thermoelastic shaft
.................................. 36
2.2.3
Rotational motion of the shaft
......................... 39
2.2.4
Laplace transform
................................... 40
2.3
Kinematic external shaft excitations
........................... 41
2.3.1
Block diagram
...................................... 42
2.3.2
Stationary process associated with a constant shaft
velocity rotation
..................................... 42
2.3.2.1
Block diagram of the linearized system
......... 43
2.3.2.2
Stationary process without wear
............... 43
2.3.2.3
Analysis of steady-state solution in the presence
of wear
.................................... 47
2.3.3
Numerical analysis of the transient solution
............. 48
Contents
2.3.4
Chaotic motion of the shaft/bush with kinematic external
excitations
.......................................... 53
2.3.4.1
Introduction
................................. 54
2.3.4.2
Melnikov function
........................... 54
2.3.4.3
Numerical results
............................ 58
23.4.4
Calculation of Lyapunov exponents
............. 64
2.3.4.5
Numerical analysis
........................... 66
2.3.5
Chaotic motion of the bush subject to mechanical
external excitations
................................... 70
2.3.5.1
Melnikov s method
.......................... 71
2.3.5.2
Numerical analysis
........................... 72
2.3.6
Analysis of the bush motion with wear and cylinder
kinematic excitations
................................. 75
2.3.7
Dynamics with external temperature perturbation
......... 78
2.4
External shaft mechanical excitations
......................... 81
2.4.1
Shaft
inerţial
motion with tribological processes
......... 81
2.4.1.1
Solution properties
........................... 84
2.4.1.2
Numerical results
............................ 85
2.4.2
Inertialess shaft and bush dynamics and frictional heat
generation
.......................................... 87
2.4.2.1
Application of the Laplace transform
........... 89
2.4.2.2
Stationary dynamics
......................... 90
2.4.2.3
Stick-slip process
............................ 95
2.4.2.4
Numerical analysis
........................... 95
2.4.2.5
Acceleration process
......................... 96
2.4.2.6
Braking process
............................. 96
2.4.3
Inerţial
damped dynamics of cylinder and bush and
tribological processes
................................ 100
2.4.3.1
Stick-slip process
............................101
2.4.3.2
Numerical analysis
...........................101
2.4.3.3
Cylinder and bush dynamics during acceleration
. 101
2.4.3.4
Cylinder and bush dynamics during braking
.....104
2.5
Dynamics of contacting bodies with impacts
...................105
2.5.1
Mathematical modelling
..............................106
2.5.1.1
Equations for shaft rotational movement of an
absolutely rigid bush
.........................106
2.5.1.2
Thermoelastic shaft
..........................107
2.5.2
Algorithm of solution
................................108
2.5.3
On the periodic motion with impacts
...................110
2.5.4
Numerical analysis
...................................121
2.6
Stick-slip vibrations (continuous friction model)
................126
2.6.1
Introduction
.........................................126
2.6.2
One degree-of-freedom model
.........................127
2.6.3
Numerical calculations
...............................129
2.6.4
Results
.............................................130
Contents
vii
2.6.5
Conclusions
.........................................133
3
Thermoelastic Contact
of Parallelepiped Moving Along Walls
......135
3.1
Kinematically driven parallelepiped-type rigid plate
.............136
3.1.1
Mathematical modelling
..............................137
3.1.2
Laplace transform
...................................140
3.1.3
Stationary process subject to kinematic external excitation
. 141
3.1.4
Algorithm and solutions
..............................143
3.2
Rigid plate dynamics subject to temperature perturbation
........145
3.2.1
Mathematical formulation
.............................147
3.2.2
Application of the Laplace transform
...................149
3.2.3
Stationary process
...................................151
3.2.4
Constant friction coefficient and nonstationary process
.... 153
3.2.5
Variable friction coefficient and nonstationary process
.... 155
3.3
Dynamics of a two degrees-of-freedom system with friction and
heat generation
............................................160
3.3.1
Statement of the problem
.............................161
3.3.2
Mathematical problem formulation
.....................162
3.3.3
Solution of the problem
..............................164
3.3.4
Steady-state solution analysis
..........................165
3.3.5
Numerical analysis of transient solution
.................169
3.4
Tribological dynamical damper of vibrations with thermoelastic
contact
...................................................170
3.4.1
Mathematical modelling
..............................171
3.4.2
On the heat transfer influence on dynamical damper of
self-vibrations
.......................................178
3.4.3
Nonlinear dynamics of a dynamical damper with wear
processes
...........................................184
4
Contact Characteristics During
Braking Process
...............................................187
4.1
Contact characteristics of three-layer brake models
..............188
4.1.1
Mathematical modelling
..............................189
4.1.2
Contact characteristics of the metallic-ceramic frictional
strap and the metal disk during braking
.................194
4.2
Computation of the contact characteristics of the two-layer brake
model
....................................................198
4.3
Computation of the contact characteristics of the two semi-space
brake models
..............................................199
4.3.1
Contact temperature and wear during braking
............200
4.3.2
Contact temperature and wear during braking and
harmonic load excitations
.............................205
viii Contents
5
Thermoelastic Contact
of Two Moving Layers with Friction and
Wear
.........................................................207
5.1
Analysed system
...........................................207
5.2
Laplace transform
..........................................211
5.3
Algorithm of solutions
......................................213
5.4
Solution analysis
...........................................214
5.5
Frictional thermoelastic instability
............................215
References
.........................................................223
Index
.............................................................237
|
| adam_txt |
Contents
Preface
. ix
Nomenclature
. xv
1
Introduction
. 1
1.1
Object of the study
. 1
1.1.1
Equations of motion of bodies in contact
. 1
1.1.2
Boundary and contact conditions
. 9
1.1.3
Dynamics of contacting bodies
. 17
1.1.4
Contact thermoelasticity
. 21
1.1.5
On some equations governing discontinuous systems
dynamics
. 25
1.2
Aim and scope
. 30
2
Thermoelastic Contact of Shaft and Bush
in Wear Regime
. 31
2.1
Analysed system
. 31
2.2
Mathematical formulation of the problem
. 33
2.2.1
Equations for rotational movement of absolutely rigid bush
33
2.2.2
Thermoelastic shaft
. 36
2.2.3
Rotational motion of the shaft
. 39
2.2.4
Laplace transform
. 40
2.3
Kinematic external shaft excitations
. 41
2.3.1
Block diagram
. 42
2.3.2
Stationary process associated with a constant shaft
velocity rotation
. 42
2.3.2.1
Block diagram of the linearized system
. 43
2.3.2.2
Stationary process without wear
. 43
2.3.2.3
Analysis of steady-state solution in the presence
of wear
. 47
2.3.3
Numerical analysis of the transient solution
. 48
Contents
2.3.4
Chaotic motion of the shaft/bush with kinematic external
excitations
. 53
2.3.4.1
Introduction
. 54
2.3.4.2
Melnikov function
. 54
2.3.4.3
Numerical results
. 58
23.4.4
Calculation of Lyapunov exponents
. 64
2.3.4.5
Numerical analysis
. 66
2.3.5
Chaotic motion of the bush subject to mechanical
external excitations
. 70
2.3.5.1
Melnikov's method
. 71
2.3.5.2
Numerical analysis
. 72
2.3.6
Analysis of the bush motion with wear and cylinder
kinematic excitations
. 75
2.3.7
Dynamics with external temperature perturbation
. 78
2.4
External shaft mechanical excitations
. 81
2.4.1
Shaft
inerţial
motion with tribological processes
. 81
2.4.1.1
Solution properties
. 84
2.4.1.2
Numerical results
. 85
2.4.2
Inertialess shaft and bush dynamics and frictional heat
generation
. 87
2.4.2.1
Application of the Laplace transform
. 89
2.4.2.2
Stationary dynamics
. 90
2.4.2.3
Stick-slip process
. 95
2.4.2.4
Numerical analysis
. 95
2.4.2.5
Acceleration process
. 96
2.4.2.6
Braking process
. 96
2.4.3
Inerţial
damped dynamics of cylinder and bush and
tribological processes
. 100
2.4.3.1
Stick-slip process
.101
2.4.3.2
Numerical analysis
.101
2.4.3.3
Cylinder and bush dynamics during acceleration
. 101
2.4.3.4
Cylinder and bush dynamics during braking
.104
2.5
Dynamics of contacting bodies with impacts
.105
2.5.1
Mathematical modelling
.106
2.5.1.1
Equations for shaft rotational movement of an
absolutely rigid bush
.106
2.5.1.2
Thermoelastic shaft
.107
2.5.2
Algorithm of solution
.108
2.5.3
On the periodic motion with impacts
.110
2.5.4
Numerical analysis
.121
2.6
Stick-slip vibrations (continuous friction model)
.126
2.6.1
Introduction
.126
2.6.2
One degree-of-freedom model
.127
2.6.3
Numerical calculations
.129
2.6.4
Results
.130
Contents
vii
2.6.5
Conclusions
.133
3
Thermoelastic Contact
of Parallelepiped Moving Along Walls
.135
3.1
Kinematically driven parallelepiped-type rigid plate
.136
3.1.1
Mathematical modelling
.137
3.1.2
Laplace transform
.140
3.1.3
Stationary process subject to kinematic external excitation
. 141
3.1.4
Algorithm and solutions
.143
3.2
Rigid plate dynamics subject to temperature perturbation
.145
3.2.1
Mathematical formulation
.147
3.2.2
Application of the Laplace transform
.149
3.2.3
Stationary process
.151
3.2.4
Constant friction coefficient and nonstationary process
. 153
3.2.5
Variable friction coefficient and nonstationary process
. 155
3.3
Dynamics of a two degrees-of-freedom system with friction and
heat generation
.160
3.3.1
Statement of the problem
.161
3.3.2
Mathematical problem formulation
.162
3.3.3
Solution of the problem
.164
3.3.4
Steady-state solution analysis
.165
3.3.5
Numerical analysis of transient solution
.169
3.4
Tribological dynamical damper of vibrations with thermoelastic
contact
.170
3.4.1
Mathematical modelling
.171
3.4.2
On the heat transfer influence on dynamical damper of
self-vibrations
.178
3.4.3
Nonlinear dynamics of a dynamical damper with wear
processes
.184
4
Contact Characteristics During
Braking Process
.187
4.1
Contact characteristics of three-layer brake models
.188
4.1.1
Mathematical modelling
.189
4.1.2
Contact characteristics of the metallic-ceramic frictional
strap and the metal disk during braking
.194
4.2
Computation of the contact characteristics of the two-layer brake
model
.198
4.3
Computation of the contact characteristics of the two semi-space
brake models
.199
4.3.1
Contact temperature and wear during braking
.200
4.3.2
Contact temperature and wear during braking and
harmonic load excitations
.205
viii Contents
5
Thermoelastic Contact
of Two Moving Layers with Friction and
Wear
.207
5.1
Analysed system
.207
5.2
Laplace transform
.211
5.3
Algorithm of solutions
.213
5.4
Solution analysis
.214
5.5
Frictional thermoelastic instability
.215
References
.223
Index
.237 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Awrejcewicz, Jan 1952- Pyr'yev, Yuriy |
| author_GND | (DE-588)120089122 (DE-588)1194031064 |
| author_facet | Awrejcewicz, Jan 1952- Pyr'yev, Yuriy |
| author_role | aut aut |
| author_sort | Awrejcewicz, Jan 1952- |
| author_variant | j a ja y p yp |
| building | Verbundindex |
| bvnumber | BV035183610 |
| callnumber-first | T - Technology |
| callnumber-label | TA353 |
| callnumber-raw | TA353 |
| callnumber-search | TA353 |
| callnumber-sort | TA 3353 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 3200 |
| ctrlnum | (OCoLC)294999059 (DE-599)DNB989740358 |
| dewey-full | 620.1/05 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/05 |
| dewey-search | 620.1/05 |
| dewey-sort | 3620.1 15 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| format | Book |
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| id | DE-604.BV035183610 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:58:54Z |
| indexdate | 2024-07-09T21:26:55Z |
| institution | BVB |
| isbn | 9780387096520 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016990325 |
| oclc_num | 294999059 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-188 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-188 |
| physical | XVII, 241 Seiten Illustrationen, Diagramme |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series | Advances in mechanics and mathematics |
| series2 | Advances in mechanics and mathematics |
| spelling | Awrejcewicz, Jan 1952- Verfasser (DE-588)120089122 aut Nonsmooth dynamics of contacting thermoelastic bodies by Jan Awrejcewicz ; Yuriy Pyr'yev New York, NY Springer [2009] XVII, 241 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Advances in mechanics and mathematics VOLUME 16 Erscheint: Januar 2009 Mathematisches Modell Contact mechanics Contact mechanics Mathematical models Friction Heat Conduction Inertia (Mechanics) Mechanical wear Nonsmooth optimization Thermal stresses Thermoelasticity Thermoelastizität (DE-588)4185143-2 gnd rswk-swf Nichtglatte Mechanik (DE-588)4201235-1 gnd rswk-swf Kontaktmechanik (DE-588)4798356-5 gnd rswk-swf Kontaktmechanik (DE-588)4798356-5 s Thermoelastizität (DE-588)4185143-2 s Nichtglatte Mechanik (DE-588)4201235-1 s DE-604 Pyr'yev, Yuriy Verfasser (DE-588)1194031064 aut Erscheint auch als Online-Ausgabe 978-0-387-09653-7 Advances in mechanics and mathematics VOLUME 16 (DE-604)BV017903734 16 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016990325&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Awrejcewicz, Jan 1952- Pyr'yev, Yuriy Nonsmooth dynamics of contacting thermoelastic bodies Advances in mechanics and mathematics Mathematisches Modell Contact mechanics Contact mechanics Mathematical models Friction Heat Conduction Inertia (Mechanics) Mechanical wear Nonsmooth optimization Thermal stresses Thermoelasticity Thermoelastizität (DE-588)4185143-2 gnd Nichtglatte Mechanik (DE-588)4201235-1 gnd Kontaktmechanik (DE-588)4798356-5 gnd |
| subject_GND | (DE-588)4185143-2 (DE-588)4201235-1 (DE-588)4798356-5 |
| title | Nonsmooth dynamics of contacting thermoelastic bodies |
| title_auth | Nonsmooth dynamics of contacting thermoelastic bodies |
| title_exact_search | Nonsmooth dynamics of contacting thermoelastic bodies |
| title_exact_search_txtP | Nonsmooth dynamics of contacting thermoelastic bodies |
| title_full | Nonsmooth dynamics of contacting thermoelastic bodies by Jan Awrejcewicz ; Yuriy Pyr'yev |
| title_fullStr | Nonsmooth dynamics of contacting thermoelastic bodies by Jan Awrejcewicz ; Yuriy Pyr'yev |
| title_full_unstemmed | Nonsmooth dynamics of contacting thermoelastic bodies by Jan Awrejcewicz ; Yuriy Pyr'yev |
| title_short | Nonsmooth dynamics of contacting thermoelastic bodies |
| title_sort | nonsmooth dynamics of contacting thermoelastic bodies |
| topic | Mathematisches Modell Contact mechanics Contact mechanics Mathematical models Friction Heat Conduction Inertia (Mechanics) Mechanical wear Nonsmooth optimization Thermal stresses Thermoelasticity Thermoelastizität (DE-588)4185143-2 gnd Nichtglatte Mechanik (DE-588)4201235-1 gnd Kontaktmechanik (DE-588)4798356-5 gnd |
| topic_facet | Mathematisches Modell Contact mechanics Contact mechanics Mathematical models Friction Heat Conduction Inertia (Mechanics) Mechanical wear Nonsmooth optimization Thermal stresses Thermoelasticity Thermoelastizität Nichtglatte Mechanik Kontaktmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016990325&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV017903734 |
| work_keys_str_mv | AT awrejcewiczjan nonsmoothdynamicsofcontactingthermoelasticbodies AT pyryevyuriy nonsmoothdynamicsofcontactingthermoelasticbodies |