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A platform for research: civil engineering, architecture and urbanism
Dynamic stiffness analysis for in-plane vibrations of arches with variable curvature
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.
Dynamic stiffness analysis for in-plane vibrations of arches with variable curvature
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.
Dynamic stiffness analysis for in-plane vibrations of arches with variable curvature
Analyse der dynamischen Steifigkeit für Schwingungen in der gleichen Ebene von Bögen mit veränderlicher Wölbung
Tseng, Y.P. (author) / Huang, C.S. (author) / Lin, C.J. (author)
Journal of Sound and Vibration ; 207 ; 15-31
1997
17 Seiten, 9 Tabellen, 26 Quellen
Article (Journal)
English
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