Free Vibration Analysis of Parabolic Arches in Cartesian Coordinates
| Autor: | Sang Jin Oh, Byoung Koo Lee, Guangfan Li, Kou Moon Choi |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Applied Mathematics
Mechanical Engineering Log-polar coordinates Aerospace Engineering Ocean Engineering Geometry Building and Construction Parabolic coordinates law.invention Generalized coordinates Orthogonal coordinates law Parabolic cylindrical coordinates Cartesian coordinate system Polar coordinate system Civil and Structural Engineering Mathematics Bipolar coordinates |
| Zdroj: | International Journal of Structural Stability and Dynamics. :377-390 |
| ISSN: | 1793-6764 0219-4554 |
| Popis: | The differential equations governing free vibrations of the elastic, parabolic arches with unsymmetric axes are derived in Cartesian coordinates rather than in polar coordinates. The formulation includes the effects of axial extension, shear deformation and rotatory inertia. Frequencies and mode shapes are computed numerically for arches with clamped-clamped, clamped-hinged, hinged-clamped and hinged-hinged ends. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported as functions of four non-dimensional system parameters: the rise to chord length ratio, the span length to chord length ratio, the slenderness ratio and the shear parameter. Typical mode shapes of vibrating arches are also presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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