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Title |
Free Vibrations of Circular Uniform Strips Resting on Two Parameter Elastic Foundation
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Keywords |
원호형 띠기초 ; 휨-비틀림 자유진동 ; 두 변수 탄성지반 ; 고유진동수 ; 진동형 ; Circular strip foundation ; Flexural-torsional free vibrations ; Two parameter elastic foundation ; Natural frequencies ; Mode shapes |
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Abstract |
This paper deals with the free vibrations of circular strip foundations which have uniform solid rectangular cross-section. The ground which supports circular strips was modeled as the two parameter elastic foundation. Differential equations governing the flexural-torsional free vibrations of circular strips supported by such foundation were derived, and solved numerically for obtaining the natural frequencies and mode shapes. Boundary condition of free-free ends was considered for numerical examples. Four lowest natural frequencies according to the variations of five system parameters i.e. subtended angle, depth ratio, contact ratio, elasticity ratio and soil parameter are reported in the non-dimensional forms. Also, typical mode shapes of both deformations and stress resultants are presented in the figures. Experiment was conducted for validating the theory developed in this study.
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