Nonclassical vibrations of arches & beams : Eigenvalues & Eigenfunctions

The demand for complex, high technology structures has increased the required accuracy of structural calculations. This in-depth reference covers solutions to the crucial vibration problems of beam and arch design. Vibration analysis, compressive loads, elastic foundations, and more. Transverse vibration equations. Dynamics of deformable systems. Optimal designed beams.

PREFACE ACKNOWLEDGMENTS NOTATION Chapter 1: Transverse Vibration Equations Chapter 2: Bernouli-Euler Beams on Elastic Linear Foundation Chapter 3: Prismatic Beams Under Compressive and Tensile Axial Loads Chapter 4: Bress-Timoshenko Uniform Prismatic Beams Chapter 5: Non-Uniform One-Span Beams Chapter 6: Optimal Designed Beams Chapter 7: Nonlinear Transverse Vibrations Chapter 8: Arches APPENDIX A: EIGENFUNCTIONS AND THEIR DERIVATIVES FOR ONE-SPAN BEAMS WITH DIFFERENT BOUNDARY CONDITIONS APPENDIX B: EIGENFUNCTIONS AND THEIR DERIVATIVES FOR MULTISPAN BEAMS WITH EQUAL LENGTH AND DIFFERENT BOUNDARY CONDITIONS APPENDIX C: SOME USEFUL DEFINITE INTEGRALS APPENDIX D: SOME ASSUMED FUNCTIONS INDEX