formulas for structural dynamics

494
Table of Contents Cover ----------------------------------------------------------------------------------------- 01 Transverse Vibration Equations --------------------------------------------------- 02 Analysis Methods --------------------------------------------------------------------- 03 Fundamental Equations of Classical Beam Theory -------------------------- 04 Special Functions for the Dynamical Calculation of Beams and Frames--------------------------------------------------------------------------------------- 05 Bernoulli-Euler Uniform Beams with Classical Boundary Conditions ---- 06 Bernoulli-Euler Uniform One-Span Beams with Elastic Supports -------- 07 Bernoulli-Euler Beams with Lumped and Rotational Masses-------------- 08 Bernoulli-Euler Beams on Elastic Linear Foundation ------------------------ 09 Bernoulli-Euler Multispan Beams ------------------------------------------------- 10 Prismatic Beams Under Compressive and Tensile Axial Loads ---------- 11 Bress-Timoshenko Uniform Prismatic Beams --------------------------------- 12 Non-Uniform One-Span Beams --------------------------------------------------- 13 Optimal Designed Beams----------------------------------------------------------- 14 Nonlinear Transverse Vibrations -------------------------------------------------- 15 Arches ----------------------------------------------------------------------------------- 16 Frames----------------------------------------------------------------------------------- 2 3 17 61 97 131 161 197 249 263 301 329 355 397 411 437 473

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  • Table of ContentsCover -----------------------------------------------------------------------------------------01 Transverse Vibration Equations---------------------------------------------------02 Analysis Methods ---------------------------------------------------------------------03 Fundamental Equations of Classical Beam Theory --------------------------04 Special Functions for the Dynamical Calculation of Beams andFrames---------------------------------------------------------------------------------------05 Bernoulli-Euler Uniform Beams with Classical Boundary Conditions----06 Bernoulli-Euler Uniform One-Span Beams with Elastic Supports --------07 Bernoulli-Euler Beams with Lumped and Rotational Masses--------------08 Bernoulli-Euler Beams on Elastic Linear Foundation ------------------------09 Bernoulli-Euler Multispan Beams -------------------------------------------------10 Prismatic Beams Under Compressive and Tensile Axial Loads ----------11 Bress-Timoshenko Uniform Prismatic Beams ---------------------------------12 Non-Uniform One-Span Beams ---------------------------------------------------13 Optimal Designed Beams-----------------------------------------------------------14 Nonlinear Transverse Vibrations--------------------------------------------------15 Arches -----------------------------------------------------------------------------------16 Frames-----------------------------------------------------------------------------------

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  • Source: Formulas for Structural Dynamics: Tables, Graphs and Solutions

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  • Source: Formulas for Structural Dynamics: Tables, Graphs and Solutions

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    FUNDAMENTAL EQUATIONS OF CLASSICAL BEAM THEORY

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