Probabilistic and Convex Modelling of Acoustically Excited Structures

Content: 
Studies in Applied Mechanics
Page ii

Front Matter
Page iii

Copyright page
Page iv

Preface
Pages v-vi
I. Elishakoff, Y.K. Lin, L.P. Zhu

Chapter 1 - Free Vibration of Single-Span Beams
Pages 1-11

Chapter 2 - Free Vibration of Multi-Span Periodic Beams
Pages 12-57

Chapter 3 - Free Vibration of Rectangular Plates
Pages 58-86

Chapter 4 - Bolotin\'s Method of Dynamic Edge Effect and Its Generalization
Pages 87-131

Chapter 5 - Random Vibration of Structures
Pages 132-153

Chapter 6 - Response of Beam-Like Structures to Near-Field Acoustic Environment
Pages 154-210

Chapter 7 - Random Vibration Analysis by Finite Element Method
Pages 211-231

Chapter 8 - A Combined Probabilistic and Convex-Theoretic Approach
Pages 232-263

References
Pages 264-279

Appendix A - Elements of Frequency Equation (3.84): [Eigenfrequency/Wave-Number Relationship Given by (3.74)]
Page 280

Appendix B - Elements of Frequency Equation (3.84): [Eigenfrequency/Wave Number Relationship Given by (3.75)]
Page 281

Appendix C - On the Existence of the Eigenfrequencies Associated with Repeated Zero Eigenvalues [Eq.(3.76)]
Pages 282-284

Appendix D - Construction of the Mode Shape in Eq. (8.46)
Pages 285-286

Appendix E - Expressions for the Natural Frequency in Eq. (8.52)
Page 287

Appendix F - Analytical Evaluation of Cross-Spectral Density of Generalized Forces
Pages 288-289

Index
Pages 291-296