Dynamic Stiffness and Substructures

1 Harmonic Analysis.- 1.1 Steady State.- 1.2 Multiple Degrees of Freedom.- 1.3 Modal Analysis and Acceleration.- 2 Finite Elements and Continuum Elements.- 2.1 Formulation.- 2.2 Bar Elements.- 2.3 Beam Elements.- 2.4 Continuous Mass Model.- 2.5 Rectangular Plate.- 2.6 Interaction Between Beams and Plates.- 2.7 Leung’s Theorem.- 2.8 Simpson’s Hypothesis.- 2.9 Sturm’s Theorem.- 2.10 Wittrick-Williams Algorithm.- 2.11 Derivatives of the Dynamic Stiffness.- 3 Dynamic Substructures.- 3.1 Exact Dynamic Condensation.- 3.2 Dynamic Substructures.- 3.3 Dynamic Flexibility.- 3.4 Dynamic Transformation.- 3.5 Damped Substructures.- 3.6 Multilevel Substructures.- 3.7 Non-conservative Substructures.- 3.8 Substructure Response.- 3.9 Periodic Structures.- 3.10 Derivatives of Substructure.- 4 Dynamic Stiffness.- 4.1 Follower Force.- 4.2 Parametrically Excited Members.- 4.3 Effects of In-Plane Moment.- 4.4 Reponse Analysis.- 4.5 Non-conservative Modal Analysis.- 4.6 Exponentially Varying Harmonic Excitations.- 5 General Formulation.- 5.1 Initial Stress Formulation.- 5.2 Finite Element Method.- 5.3 Dynamic Stiffness Method.- 5.4 Thin-Walled Beam.- 5.5 Shear Deformable Thin-Walled Beam.- 5.6 Analytical Dynamic Stiffness.- 5.7 Curved Thin-Walled Beam.- 5.8 Helix.- 5.9 Curvature Effect.- 5.10 Extensions.- 5.11 Symmetry of the Dynamic Stiffness Matrix.