Inan / Sengupta / Banerjee Vibration Problems ICOVP 2007

Eighth International Conference, 01-03 February 2007, Shibpur, India
1. Auflage 2008
ISBN: 978-1-4020-9100-1
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 392 Seiten

Vibration problems dealing with advanced Mathematical and Numerical Techniques have extensive application in a wide class of problems in ae- nautics, aerodynamics, space science and technology, off-shore engineering and in the design of different structural components of high speed space crafts and nuclear reactors. Different classes of vibration problems dealing with complex geometries and non-linear behaviour require careful attention of scientists and engineers in pursuit of their research activities. Almost all fields of Engineering, Science and Technology, ranging from small domestic building subjected to earthquake and cyclone to the space craft venturing towards different planets, from giant ship to human skeleton, encounter problems of vibration and dynamic loading. This being truly an interdisciplinary field, where the mathematicians, phy- cists and engineers could interface their innovative ideas and creative thoughts to arrive at an appropriate solution, Bengal Engineering and Science University, Shibpur, India, a premier institution for education and research in engineering, science and technology felt it appropriate to organize 8th International C- ference on “Vibration Problems (ICOVP-2007)” as a part of its sesquicentenary celebration. The conference created a platform and all aspects of vibration phenomenon with the focus on the state-of-the art in theoretical, experimental and applied research areas were addressed and the scientific interaction, p- ticipated by a large gathering including eminent personalities and young research workers, generated many research areas and innovative ideas.

Autoren/Hrsg.

Inan, Esin

Sengupta, D.

Banerjee, M.M.

Mukhopadhyay, Basudev

Demiray, Hilmi

Inhaltsverzeichnis

1;PREFACE;7
2;CONTENTS;12
3;FREE VIBRATIONS OF DELAMINATED COMPOSITE CYLINDRICAL SHELL ROOFS;16
3.1;Abstract.;16
3.2;1. Introduction;17
3.3;2. Mathematical formulation;17
3.4;3. Numerical examples;18
3.5;4. Results and discussions;18
3.6;5. Conclusion;20
3.7;References;21
4;COMPUTATIONAL DYNAMIC ANALYSIS OF SINGLE-MASS FREELY SHAKING CONVEYERS WITH CENTRIFUGAL VIBRATION EXCITER;22
4.1;Abstract.;22
4.2;1. Introduction;22
4.3;2. Dynamics of the motion;23
4.4;3. Forced vibration of the motion;24
4.5;4. The graphics of the motion;26
4.6;5. Conclusions;28
4.7;References;28
5;ON THE APPLICATION OF CONSTANT DEFLECTION CONTOUR METHOD TO NON- LINEAR VIBRATION ANALYSIS OF ELASTIC PLATES AND SHELLS;29
5.1;Abstract.;29
5.2;1. Introduction;30
5.3;2. Some preliminary remarks on the Constant Deflection Contour Method;30
5.4;3. Deduction of basic equations (a different approach);31
5.5;4. Method of solution;34
5.6;5. Illustrations;35
5.7;6. Conclusion;39
5.8;References;39
6;CRACK DETECTION IN CANTILEVER BEAM USING VIBRATION RESPONSE;41
6.1;Abstract.;41
6.2;1. Introduction;41
6.3;2. Results and discussions;42
6.4;3. Conclusion;46
6.5;References;46
7;LARGE AMPLITUDE FREE VIBRATION OF A ROTATING AND MASS SYSTEM NON-HOMOGENEOUS BEAM WITH NON-LINEAR SPRING AND MASS SYSTEM;48
7.1;Abstract.;48
7.2;1. Introduction;49
7.3;2. Formulation;50
7.4;3. Results and discussion;58
7.5;4. Conclusions;60
7.6;References;60
8;NON-TRIVIAL HIGH FREQUENCY EFFECTS (HFE) ON MECHANICAL OSCILLATORS WITH NON- LINEAR DISSIPATION;62
8.1;Abstract.;62
8.2;1. Introduction;62
8.3;2. Mathematical background;63
8.4;3. Some examples of HFE on nonlinear friction;65
8.5;4. Concept of vibroengine;69
8.6;5. Conclusions and outlook;72
8.7;References;72
9;WIRE ROPE BASED VIBRATION ISOLATION FIXTURE FOR ROAD TRANSPORTATION OF HEAVY DEFENCE CARGO;73
9.1;Abstract.;73
9.2;1. Introduction;73
9.3;2. Characteristics of wire rope isolators;74
9.4;3. Finite element analysis of isolation fixture;75
9.5;4. Results and experimental validation;77
9.6;5. Conclusions;79
9.7;References;79
10;A COMPARISON OF VIBRATION AMPLITUDES OF A ROTOR BEARING SYSTEM DUE TO VARIOUS TYPES OF DEFECTS IN ROLLING ELEMENT BEARINGS;80
10.1;Abstract.;80
10.2;1. Introduction;81
10.3;2. Problem formulation and solution;81
10.4;3. Results and discussion;85
10.5;4. Conclusions;86
10.6;References;86
11;ASYMPTOTIC LIMITS OF THE FREQUENCY OF VIBRATIONS OF A GENERALIZED THERMOELASTIC INFINITE PLATE;88
11.1;Abstract.;88
11.2;1. Introduction;88
11.3;2. Formulation and solution of the problem;89
11.4;3. Concluding remarks;100
11.5;References;100
12;FREE VIBRATION ANALYSIS OF A ROTATING BEAM WITH NON- LINEAR SPRING AND MASS SYSTEM;101
12.1;Abstract.;101
12.2;1. Introduction;101
12.3;2. Formulation;102
12.4;3. Solution methodology;104
12.5;4. Linear solution;105
12.6;5. Non-linear solution;106
12.7;6. Results and discussion;107
12.8;7. Conclusions;108
12.9;References;108
13;TRAVELLING WAVES IN A PRESTRESSED ELASTIC TUBE FILLED WITH A FLUID OF VARIABLE VISCOSITY;110
13.1;Abstract.;110
13.2;1. Introduction;110
13.3;2. Theoretical preliminaries and basic equations;111
13.4;3. Long wave approximation;114
13.5;4. Solution of the field equations;116
13.6;5. Progressive wave solution to the FKDVB equation;117
13.7;6. Conclusion;118
13.8;References;118
14;MEASUREMENT OF FLOW INDUCED VIBRATION OF REACTOR COMPONENT;120
14.1;Abstract.;120
14.2;1. Introduction;121
14.3;2. Results;124
14.4;3. Conclusions;125
14.5;References;125
15;BEHAVIOR OF HIGH AND INTERMEDIATE FREQUENCY MODES OF STRUCTURES SUBJECTED TO HARMONIC EXCITATION;126
15.1;Abstract.;126
15.2;1. Introduction;126
15.3;2. Dynamic analysis: Mode superposition method;127
15.4;3. Response of high frequency;129
15.5;4. Conclusions;132
15.6;References;132
16;LIMIT CYCLE OSCILLATIONS;133
16.1;Abstract.;133
16.2;1. Introduction;133
16.3;2. The Vander Pol oscillator;135
16.4;3. Predator-Prey oscillator;138
16.5;4. Dependence of initial condition;139
16.6;5. Limit cycle from memory effects;141
16.7;6. Conclusion;142
16.8;References;143
17;PUSHOVER ANALYSIS METHODOLOGIES: A TOOL FOR LIMITED DAMAGE BASED DESIGN OF STRUCTURE FOR SEISMIC VIBRATION;144
17.1;Abstract.;144
17.2;1. Introduction;145
17.3;2. Pushover analysis – a substitute for nonlinear dynamic analysis;146
17.4;3. State of the art on pushover analysis;147
17.5;4. Demonstration of pushover analysis for an example problem;148
17.6;5. Concluding remarks;161
17.7;References;161
18;NONLINEAR WAVES IN A STENOSED ELASTIC TUBE FILLED WITH VISCOUS FLUID: FORCED PERTURBED KORTEWEG- DE VRIES EQUATION;163
18.1;Abstract.;163
18.2;1. Introduction;164
18.3;2. The governing equations;164
18.4;3. Longwave approximation;165
18.5;4. Solution of the field equations;166
18.6;5. Progressive wave solutions;167
18.7;6. Conclusion;168
18.8;References;169
19;DETERMINATION OF MECHANICAL PROPERTY OF SYNTHETIC RUBBER USING OPTICAL MOUSE AS A VIBRATION SENSOR;170
19.1;Abstract.;170
19.2;1. Introduction;171
19.3;2. Formulation of the problem;172
19.4;3. Small superimposed oscillation about finite static stretch;173
19.5;4. Experiment;174
19.6;5. Results;175
19.7;6. Conclusions;175
19.8;References;176
20;LARGE AMPLITUDE VIBRATIONS OF NONCIRCULAR CYLINDRICAL SHELLS;177
20.1;Abstract.;177
20.2;1. Introduction;177
20.3;2. Formulation;182
20.4;3. Element description;185
20.5;4. Results;186
20.6;5. Conclusions;190
20.7;References;190
21;3-D VIBRATION ANALYSIS OF MICROSTRETCH PLATES;193
21.1;Abstract.;193
21.2;1. Introduction;193
21.3;2. Vibration analysis in microstretch theory;194
21.4;3. Comparison and numerical results;200
21.5;4. Conclusions;204
21.6;References;204
22;FINITE ELEMENT FORMULATION FOR PASSIVE SHAPE CONTROL OF THIN COMPOSITE PLATES WITH INTEGRATED PIEZOELECTRIC LAYER;205
22.1;Abstract.;205
22.2;1. Introduction;205
22.3;2. Theoretical Formulation: Finite element formulation for thin laminates with piezolayers and finite element equations for passive shape control;206
22.4;3. Results and discussions;209
22.5;4. Conclusion;210
22.6;References;210
23;3-D VIBRATION ANALYSIS OF THE RECTANGULAR MICRO DAMAGED PLATES;211
23.1;Abstract.;211
23.2;1. Introduction;211
23.3;2. Vibration analysis in microelongation theory;212
23.4;3. Comparison and numerical results;216
23.5;4. Conclusions;217
23.6;References;218
24;NOISE REDUCTION OF AIR BLOWER CASING USING COMPOSITES;219
24.1;Abstract.;219
24.2;1. Introduction;220
24.3;2. Experimental work;222
24.4;3. Results and discussions;223
24.5;4. Noise level analysis using Sysnoise;224
24.6;References;226
25;PARAMETRIC ESTIMATION OF NONLINEAR 3D OF SYSTEM USING GENETIC ALGORITHM IN TIME DOMAIN;227
25.1;Abstract.;227
25.2;1. Introduction;227
25.3;2. Numerical studies;228
25.4;3. Genetic algorithm;230
25.5;4. Results and discussions;231
25.6;5. Conclusions;232
25.7;References;233
26;EFFECT OF TRENCHES ON ATTENUATION OF GROUND VIBRATION DURING PILE DRIVING;234
26.1;Abstract.;234
26.2;1. Introduction;235
26.3;2. Measurement of ground vibration;235
26.4;3. Numerical studies;236
26.5;4. Conclusions;240
26.6;References;241
27;RANDOM VIBRATION OF A SIMPLE OSCILLATOR UNDER DIFFERENT EXCITATIONS;242
27.1;Abstract.;242
27.2;1. Introduction;243
27.3;2. Equation of motion and model analysis;243
27.4;3. Conclusion;248
27.5;References;248
28;EXPERIMENTAL ANALYSIS OF THERMALLY INDUCED MOTION OF U- TUBES;249
28.1;Abstract.;249
28.2;1. Introduction;249
28.3;2. Experimental setup;250
28.4;3. Response of 1.86 mm diameter U-Tube in transverse direction;252
28.5;4. Response of 1.05 mm diameter U-Tube in lateral direction;253
28.6;5. Conclusions;254
28.7;References;255
29;RESPONSE OF A HARMONICALLY EXCITED HARD DUFFING OSCILLATOR – NUMERICAL AND EXPERIMENTAL INVESTIGATION;257
29.1;Abstract.;257
29.2;1. Introduction;257
29.3;2. Experimental set-up;259
29.4;3. Numerical integration;262
29.5;4. Results and discussions;263
29.6;5. Conclusions;271
29.7;References;272
30;IDENTIFICATION OF VISCOELASTIC MODEL OF FILLED RUBBER AND NUMERICAL SIMULATION OF ITS TIME DEPENDENT RESPONSE;274
30.1;Abstract.;274
30.2;1. Introduction;274
30.3;2. Model for finite viscoelasticity;275
30.4;3. Experiments;277
30.5;4. Finite element simulation in Comsol Multiphysics;278
30.6;5. Conclusions;278
30.7;References;279
31;ELASTIC OSCILLATIONS OF SPACE TETHERS AND THE SPACE ELEVATOR;281
31.1;Abstract.;281
31.2;1. Introduction;281
31.3;2. Elastic oscillations of space tethers;282
31.4;3. Elastic oscillations of space elevator;285
31.5;4. Conclusions;290
31.6;References;290
32;ASYMPTOTIC MODELS OF BLOCH-FLOQUET WAVES IN PERIODIC WAVEGUIDES;291
32.1;Abstract.;291
32.2;1. Background;291
32.3;2. Bloch-Floquet waves in inhomogeneous lattice structures;293
32.4;3. A thin periodic waveguide with longitudinal cracks;296
32.5;References;304
33;ERROR ANALYSIS IN COMPUTATIONAL ELASTODYNAMICS;306
33.1;Abstract.;306
33.2;1. Introduction;307
33.3;2. The elastodynamic projection theorem and the energy – error- rule – A function space review;307
33.4;3. Numerical experiments, results and discussions;309
33.5;4. Conclusions;312
33.6;References;312
34;FINITE ELEMENT ANALYSIS OF FREE AND TRANSIENT VIBRATION IN SANDWICH FOLDED PLATES;314
34.1;Abstract.;314
34.2;1. Introduction;314
34.3;2. Theoretical formulation;315
34.4;3. Numerical results and discussions;317
34.5;4. Conclusions;320
34.6;References;320
35;RECENT ADVANCES IN OPTIMIZATION OF AEROSPACE STRUCTURES AND ENGINES;321
35.1;Abstract.;321
35.2;1. Introduction;321
35.3;2. Weight optimization of wing structure;323
35.4;3. Shape optimization of nonlinear structures;326
35.5;4. Concluding remarks;330
35.6;References;331
36;SH WAVE PROPAGATION IN LATERALLY HETEROGENEOUS MEDIUM;332
36.1;Abstract.;332
36.2;1. Introduction;333
36.3;2. Mathematical formulation;333
36.4;3. Conclusion;334
36.5;References;334
37;LATERAL DYNAMICS OF A RAILWAY TRUCK ON FLEXIBLE TANGENT TRACK;336
37.1;Abstract.;336
37.2;1. Introduction;337
37.3;2. Idealized truck and equivalent suspension;337
37.4;3. Modeling approach;337
37.5;4. Velocity components along axes of the truck frame;339
37.6;5. Bond graph model;339
37.7;6. Simulation;341
37.8;7. Conclusions;342
37.9;References;342
38;VIBRATION AND STABILITY OF CROSS-PLY LAMINATED TWISTED CANTILEVER PLATES;343
38.1;Abstract.;343
38.2;1. Introduction;344
38.3;2. Mathematical formulation;344
38.4;3. Results and discussions;347
38.5;4. Conclusion;350
38.6;References;351
39; FREE VIBRATION ANALYSIS OF TRUNCATED SANDWICH CONICAL SHELLS WITH CONSTRAINED ELECTRO-RHEOLOGICAL FLUID DAMPING ;352
39.1;Abstract.;352
39.2;1. Introduction;352
39.3;2. Finite element formulation;353
39.4;3. Results and discussions;355
39.5;4. Conclusions;358
39.6;References;358
40;ON THE PROBLEM OF THE CHOICE OF CONTROLLED DAMPER BY THE VIBRO- ISOLATION SYSTEM;360
40.1;Abstract.;360
40.2;1. Introduction;360
40.3;2. Preliminary considerations ;361
40.4;3. Kinematic excitation;364
40.5;4. The results of numerical simulations;366
40.6;5. Conclusions ;367
40.7;References;368
41;ON THE PROBLEM OF DEPENDENCE OF DAMPER FORCE ON THE CONCENTRATION OF FREE AIR IN WORKING LIQUID;369
41.1;Abstract.;369
41.2;1. Introduction;370
41.3;2. Damper models with constant air concentration in the oil;371
41.4;3. Results of analysis and calculations;373
41.5;4. Conclusions;374
41.6;References;375
42;AUTHOR INDEX;376
43;LIST OF PARTICIPANTS;378

Leseproben

SEKHAR CHANDRA DUTTA

Department of Civil Engineering, Bengal Eng. and Science University, Shibpur, Howrah 711103, West Bengal, India

SUVONKAR CHAKROBORTY

SMS DEMAG Private Limited, West Bengal, India

ANUSRITA RAYCHAUDHURI

Department of Civil Engineering, Bengal Eng. and Science University, Shibpur, Howrah 711103, West Bengal, India

Abstract. Vibration transmitted to the structure during earthquake may vary in magnitude over a wide range. Design methodology should, therefore, enumerates steps so that structures are able to survive in the event of even severe ground motion. However, on account of economic reason, the strengths can be provided to the structures in such a way that the structure remains in elastic range in low to moderate range earthquake and is allowed to undergo inelastic deformation in severe earthquake without collapse. To implement this design philosophy a rigorous nonlinear dynamic analysis is needed to be performed to estimate the inelastic demands. Furthermore, the same is time consuming and requires expertise to judge the results obtained from the same. In this context, the present paper discusses and demonstrates an alternative simple method known as Pushover method, which can be easily used by practicing engineers bypassing intricate nonlinear dynamic analysis and can be thought of as a substitute of the latter. This method is in the process of development and is increasingly becoming popular for its simplicity. The objective of this paper is to emphasize and demonstrate the basic concept, strength and ease of this state of the art methodology for regular use in design offices in performance based seismic design of structures.

Keywords: seismic vibration, non linear dynamic analysis, pushover analysis, dual design philosophy, response reduction factor

1. Introduction

Earthquake poses a unique nature of vibration problem to the technologists and engineers which has specialities in characteristic features primarily in the following aspects.

Firstly, the pulses, with frequencies varying in a very wide range, participate in the ground excitation resulting from the earthquake and hence, neither they can be expressed in any functional form nor the same time-acceleration history is repeated ever.

Secondly, the peak magnitude of earthquake ground shaking may vary in a very wide range. For the moderate intensity of shaking, it may be feasible to design the structures to behave elastically while for the extreme range of shaking, if the structures are designed in such a way that they still remain elastic, the cost shoots up so sharply that they can not be afforded. Hence, dual design philosophy is introduced as a practical engineering solution to strike a balance between economy and safety.

In this proposition, buildings are designed and detailed in the elastic range under moderate earthquake. Under severe earthquake the structural system is allowed to have some plastic deformation in its elemental configuration. So, the philosophy ensures that no collapse or failure mechanism will occur though damage may occur in the structural and non structural elements of a particular structure under severe earthquake. Successful implementation of this philosophy needs ultimate deformation capacity of all structural elements to be more than the demand of accommodating the inelastic deformation during the expected ground excitation.