|Study on the fundamental frequency of free vibration of double modulus sandwich beams with higher - order shear theory
|中文关键词: 高阶剪切 双模量 夹芯梁 自由振动 基频
|英文关键词:higher-order shear double modulus sandwich beam free vibration fundamental frequency
| Based on high order shear theory, the free vibration fundamental frequency problems of double modulus sandwich beams were studied. Firstly, it was assumed that the axial displacement of double modulus sandwich beam was a high-order function with the variable along the beam height direction. Then, according to the differential relationship between shear strain and axial displacement and bending deflection, the expression of axial displacement was determined, the bending differential equation was derived, and the deflection curve expression of the double-mode sandwich beam under uniform load was obtained. Compared the calculation results of this method with relevant test results, it could be found that the method had high computational accuracy. On the basis of the study mentioned above, the expression of the deflection curve under uniform load was considered as the mode function of free vibration for the double modulus sandwich beam, the free vibration of the double-modulus sandwich beam was studied with Galerkin method, and the fundamental frequency expression of the free vibration was obtained. Example analysis shown that it had high precision in calculating the fundamental frequency of the double modulus sandwich beam.
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