Linear and Nonlinear Structural Mechanics* Explains the physical meaning of linear and nonlinear structural mechanics. * Shows how to perform nonlinear structural analysis. * Points out important nonlinear structural dynamics behaviors. * Provides ready-to-use governing equations. |
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actuator amplitude Applied Mechanics approximation axes axis bifurcation boundary conditions buckled beam cables circular plate coefficients composite configuration coordinate system Crespo da Silva cross-section curvilinear coordinate cylindrical shells damping defined deflection denotes derivatives discretization displacement vector effective nonlinearity eigenvalues elastic element equal to zero equations of motion Euler angles excitation frequency experimental find finite first first-order fixed points flexural follows force frequency-response curves functions geometric nonlinearities governing equations Hence Hopf bifurcation influence initial curvatures inplane internal resonance isotropic Journal of Sound laminated plates linear loads matrix mode shapes Mook Moreover natural frequencies Nayfeh nondimensional Nonlinear Dynamics nonlinear vibrations obtain orthogonal oscillations out-of-plane parametric resonance period-doubling bifurcations plane plate theory primary resonance problem Rega respect rotary inertia rotations shear deformations shear stresses shear-deformation theory shown in Figure significant solution static strains structural Substituting symmetric transverse shear undeforrned variation warping yields