Dynamic equilibrium equations of non-prismatic beams defined on an arbitrarily selected co-ordinate system

Chang-New Chen

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, Hamilton's principle is used to derive the dynamic equilibrium equations of beams of generic section. The displacements are defined on an arbitrarily selected co-ordinate 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 dynamic equilibrium equations and natural boundary conditions obtained are strongly coupled.

Original languageEnglish
Pages (from-to)241-260
Number of pages20
JournalJournal of Sound and Vibration
Volume230
Issue number2
DOIs
Publication statusPublished - 2000 Feb 17

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

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