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Vibration Mechanics:A Research-oriented Tutorial
  • 书号:9787030698322
    作者:胡海岩
  • 外文书名:
  • 装帧:圆脊精装
    开本:特16
  • 页数:497
    字数:743000
    语种:en
  • 出版社:科学出版社
    出版时间:2022-05-01
  • 所属分类:
  • 定价: ¥260.00元
    售价: ¥205.40元
  • 图书介质:
    纸质书

  • 购买数量: 件  可供
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全书共分7章:第1章基于研究型学习需求,提出6个研究案例和12个科学问题作为学习全书的引导;第2章从美学角度回顾振动力学基础教程的主要理论和方法,为学习后续章节提供富有哲理的思想方法;此后几章分别讨论振动系统的模型、离散系统的振动、一维结构的固有振动、对称结构的固有振动、一维结构的波动与振动等问题,构成一个关于线性振动和波动的研究性教程框架,解决第1章所提出的12个科学问题。
  本书体系新颖,内容来自作者长期从事人才培养、学术研究和工程咨询的经验和体会,具有学术深度;可激发读者开展以问题为导向的研究型学习,在学习和研究中实现对振动力学认知的螺旋式上升。
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目录

  • Contents
    1 Start of Research-Oriented Study 1
    1.1 Needs for Research-Oriented Study 1
    1.2 Case Studies and Associated Problems 3
    1.2.1 Preliminary Study of a Tethered Satellite 3
    1.2.2 Design of a Hydro-Elastic Vibration Isolation System 7
    1.2.3 Two Kinds of Immovable Points in a Vibration System 10
    1.2.4 Identical Natural Frequencies of Different Structures 13
    1.2.5 Closely Distributed Natural Modes of a Symmetric
    Structure 16
    1.2.6 Transient Response of a Slender Structure 19
    1.3 Scope and Style of the Book 21
    1.4 Further Reading and Thinking 23
    2 Preparation of Research-Oriented Study 25
    2.1 Briefs of Beauty of Science 25
    2.2 Beautiful Features of Vibration Mechanics 27
    2.2.1 Unity 27
    2.2.2 Simplicity 29
    2.2.3 Regularity 31
    2.2.4 Symmetry 35
    2.2.5 Singularity 39
    2.3 Enlightenment of Beauty of Vibration Mechanics 43
    2.3.1 Methods of Thinking 43
    2.3.2 Aesthetic Literacy 48
    2.4 Concluding Remarks 49
    2.5 Further Reading and Thinking 50
    3 Models of Vibration Systems 51
    3.1 Continuous Systems and Their Discrete Models 52
    3.1.1 Dynamic Models of Continuous Systems 52
    3.1.2 Preconditions of Discretization 59
    3.1.3 Case Studies of Discretization 65
    3.1.4 Concluding Remarks 71
    3.2 A Half Degree of Freedom of Discrete Systems 72
    3.2.1 Degeneration of a Degree of Freedom 73
    3.2.2 Conventional Concept of Degree of Freedom 74
    3.2.3 Degree of Freedom Based on Accessible Manifolds 76
    3.2.4 Demonstrative Systems with a Non-holonomic Constraint 80
    3.2.5 Demonstrative Systems with Two Non-holonomic Constraints 87
    3.2.6 Concluding Remarks 94
    3.3 Structural Damping 95
    3.3.1 Frequency-Invariant Damping and Its Limitations 96
    3.3.2 Frequency-Variant Damping Model and System Response 99
    3.3.3 An Approximate Viscous Damping Model 101
    3.3.4 An Approximate Viscoelastic Damping Model 103
    3.3.5 Concluding Remarks 110
    3.4 Further Reading and Thinking 110
    4 Vibration Analysis of Discrete Systems 113
    4.1 Vibration Systems with Non-holonomic Constraints 114
    4.1.1 Dynamic Analysis in Time Domain 114
    4.1.2 Dynamic Analysis in Frequency Domain 126
    4.1.3 Concluding Remarks 130
    4.2 Node Number of a Natural Mode Shape 131
    4.2.1 Reexamination of Current Results 132
    4.2.2 Rules of Node Numbers of 2-DoF Systems 137
    4.2.3 Design Feasibility of Nodes in a Mode Shape 142
    4.2.4 Concluding Remarks 145
    4.3 Anti-resonances of a Harmonically Excited System 145
    4.3.1 Anti-resonances of 2-DoF Systems 147
    4.3.2 Mechanisms Behind Two Kinds of Anti-resonances 148
    4.3.3 Design Feasibility of Anti-resonances 152
    4.3.4 Concluding Remarks 158
    4.4 Dynamic Modifications of a System 158
    4.4.1 Frequency Response of a Composite System 159
    4.4.2 Adjusting an Anti-resonance of a Primary System 162
    4.4.3 Adjusting Resonances of a Primary System 165
    4.4.4 Concluding Remarks 172
    4.5 Further Reading and Thinking 173
    5 Natural Vibrations of One-Dimensional Structures 175
    5.1 Natural Vibrations of a Tether Pendulum 175
    5.1.1 Dynamic Equation of a Tether Pendulum 176
    5.1.2 Analysis of Natural Vibrations 178
    5.1.3 Comparison Between Continuous Model and Discrete Models 185
    5.1.4 Concluding Remarks 188
    5.2 Duality Analysis of Rods in Natural Vibrations 189
    5.2.1 A Dual of Different Cross-Sections 190
    5.2.2 A Dual of Identical Cross-Sections 195
    5.2.3 A Dual of Two Uniform Rods 199
    5.2.4 A Dual of Two Rods with Axially Varying Material Properties 201
    5.2.5 Concluding Remarks 204
    5.3 Duality Analysis of Beams in Natural Vibrations 204
    5.3.1 A Dual of Different Cross-Sections 206
    5.3.2 A Dual of Identical Cross-Sections 213
    5.3.3 A Dual of Two Uniform Beams 220
    5.3.4 Concluding Remarks 223
    5.4 Further Reading and Thinking 225
    6 Natural Vibrations of Symmetric Structures 227
    6.1 Natural Vibrations of Mirror-Symmetric Structures 228
    6.1.1 Decoupling of Mirror-Symmetric Structures 228
    6.1.2 Free Vibrations of Thin Rectangular Plates 237
    6.1.3 Repeated Natural Frequencies of a Thin Rectangular Plate 242
    6.1.4 Close Natural Frequencies of a Thin Rectangular Plate 252
    6.1.5 Concluding Remarks 261
    6.2 Vibration Computations of Cyclosymmetric Structures 261
    6.2.1 Decoupling a Cyclosymmetric Structure Without a Central Axis 264
    6.2.2 Decoupling a Cyclosymmetric Structure with a Central Axis 280
    6.2.3 High-Efficient Computation Based on Modal Reduction 289
    6.2.4 Concluding Remarks 297
    6.3 Modal Properties of Cyclosymmetric Structures 297
    6.3.1 Modal Properties in Representative Subspaces of Cyclic Group 298
    6.3.2 Modal Properties in Physical Space 301
    6.3.3 Central Displacements in Mode Shapes 307
    6.3.4 Orthogonality of Mode Shapes with Repeated Frequencies 314
    6.3.5 Modal Test of a Bladed Disc Model 318
    6.3.6 Concluding Remarks 321
    6.4 Further Reading and Thinking 322
    7 Waves and Vibrations of One-Dimensional Structures 325
    7.1 Non-dispersive Waves of Rods 326
    7.1.1 Wave Analysis of an Infinitely Long Rod 326
    7.1.2 Complex Function Analysis of Waves of an Infinitely Long Rod 332
    7.1.3 Harmonic Wave Analysis of a Finitely Long Rod 336
    7.1.4 Harmonic Vibration Analysis of a Finitely Long Rod 342
    7.1.5 Concluding Remarks 348
    7.2 Dispersive Waves of Rods 348
    7.2.1 Dispersive Waves in a Rod Due to Non-uniform Cross-Section 350
    7.2.2 Dispersive Waves of a Rod Due to Transverse Inertia 361
    7.2.3 Dispersive Waves of a Rod Due to an Elastic Boundary 366
    7.2.4 Concluding Remarks 370
    7.3 Waves in a Rod Impacting a Rigid Wall 370
    7.3.1 Wave Analysis of an Impacting Uniform Rod 371
    7.3.2 Modal Analysis of an Impacting Uniform Rod 378
    7.3.3 Influence of Non-uniform Cross-Section 385
    7.3.4 Influence of Transverse Inertia 393
    7.3.5 Criteria of Modal Truncation 398
    7.3.6 Concluding Remarks 401
    7.4 Free Waves and Vibrations of Beams 402
    7.4.1 Free Waves of an Euler–Bernoulli Beam 403
    7.4.2 Free Waves of a Timoshenko Beam 409
    7.4.3 Natural Vibrations of a Timoshenko Beam 418
    7.4.4 Concluding Remarks 425
    7.5 Forced Waves and Vibrations of Beams 426
    7.5.1 Waves of an Infinitely Long Beam to a Transverse Harmonic Force 426
    7.5.2 Vibrations of a Finitely Long Beam to a Transverse Harmonic Force 431
    7.5.3 Impact Response of a Clamped-Free Beam 434
    7.5.4 Concluding Remarks 443
    7.6 Further Reading and Thinking 444
    Appendix: Three-Dimensional Waves in an Elastic Medium 447
    Bibliography 491
    Index 495
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