Analytical Methods in Vibrations |
Contents
Behavior of Systems | 1 |
Advanced Principles of Dynamics | 30 |
Special Concepts for Vibration Study | 55 |
Copyright | |
17 other sections not shown
Common terms and phrases
a₁ admissible functions amplitude associated assume boundary conditions collocation method comparison functions complex constant continuous system coordinates corresponding damping dD(P defined denote derive discrete systems displacement domain eigenfunctions eigenvalue problem eigenvector elements energy expression equations of motion excitation finite force Fourier transform free vibration Hankel transform harmonic Hence inertia influence coefficients initial conditions integral iteration k₁ kinetic energy Laplace transform Let us consider linear transformation m₁ mass matrix form mean square membrane modal analysis natural frequencies natural modes normal modes obtain the response ordinary differential equations orthogonal positive definite potential energy random process Rayleigh-Ritz method Rayleigh's quotient represents satisfy Section self-adjoint shown in Figure solution solve stiffness symmetric transverse trial vector uncoupled undamped system uniform variable velocity w₁ wave write x₁ zero ΕΙ πχ дх