Dynamic equilibrium equations of nonprismatic beams having different bending behaviors

Chang-New Chen

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, Hamilton's principle is used to derive the dynamic equilibrium equations of beams of generic section considering the effect of transverse shear deformation in one flexural deflection direction and neglecting it in the other direction. The displacements are defined on an arbitrarily selected coordinate system. For Hamilton's principle, the dynamic behavior of non-prismatic beams is characterized by two energy functions: a kinetic energy and a potential energy. The formulation uses the procedure of variational operations. The obtained dynamic equilibrium equations and natural boundary conditions are highly coupled. Though it is difficult or impossible to find the closed-form solution of the derived differential equation system, certain inverse or numerical methods can be used to solve it.

Original languageEnglish
Pages (from-to)261-268
Number of pages8
JournalAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
Volume388
Publication statusPublished - 1999 Dec 1
EventFracture, Design Analysis of Pressure Vessels, Heat Exchangers, Piping Components, and Fitness for Service - 1999 (The ASME Pressure Vessels and Piping Conference) - Boston, MA, USA
Duration: 1999 Aug 11999 Aug 5

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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