DYNAMIC STIFFNESS ANALYSIS FOR IN-PLANE VIBRATIONS OF ARCHES WITH VARIABLE CURVATURE

✍ Scribed by Y.-P. Tseng; C.S. Huang; C.-J. Lin

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 232 KB
• Volume: 207
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1112

✦ Synopsis

This paper provides a systematic approach to solve in-plane free vibrations of arches with variable curvature. The proposed approach basically introduces the concept of dynamic stiffness matrix into a series solution for in-plane vibrations of arches with variable curvature. An arch is decomposed into as many elements as needed for accuracy of solution. In each element, a series solution is formulated in terms of polynomials, the coefficients of which are related to each other through recurrence formulas. As a result, in order to have an accurate solution, one does not need a lot of terms in series solution and in Taylor expansion series for the variable coefficients of the governing equations due to the consideration of variable curvature. Finally, a dynamic stiffness matrix is formed such that it can be applied to solve more complicated systems such as multiple-span arches. In the whole analysis, the effects of rotary inertia and shear deformation have been taken into account.