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 language | English |
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Pages (from-to) | 261-268 |
Number of pages | 8 |
Journal | American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP |
Volume | 388 |
Publication status | Published - 1999 Dec 1 |
Event | Fracture, 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 1 → 1999 Aug 5 |
All Science Journal Classification (ASJC) codes
- Mechanical Engineering