In-plane transient responses of arch with variable curvature using dynamic stiffness method

Chiung-Shiann Huang*, Yi Ping Tseng, Chia Jung Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

A procedure combining the dynamic stiffness method with the Laplace transform is proposed to obtain accurate transient responses of an arch with variable curvature. The dynamic stiffness matrix and equivalent nodal force vector for an arch with variable curvature subjected to distributed loading are explicitly formulated based on a series solution. The effects of shear deformation, rotary inertia, and damping are considered. As examples, the accurate transient responses of a parabolic and a semielliptic arch subjected to either point loading or base excitation are given. The effects of the shapes of the arches and the phase-shift in the multiple input for base excitation are also discussed.

Original languageEnglish
Pages (from-to)826-835
Number of pages10
JournalJournal of Engineering Mechanics
Volume124
Issue number8
DOIs
StatePublished - 1 Jan 1998

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