考虑横向拉伸的FGM夹层双曲扁壳自由振动分析
发布时间：2018-07-26 07:11
【摘要】：在双曲正弦高阶剪切变形理论的基础上,针对横向位移增加厚度坐标的幂函数项,考虑了横向拉伸的影响,研究了简支条件下功能梯度夹层双曲扁壳的自由振动。基于Hamilton原理推导出了其动力学模型,利用Navier方法计算了表层是功能梯度材料,芯层是匀质材料的双曲扁壳的量纲为一的固有频率,并与已有结果进行了比较。分析了功能梯度材料性质梯度变化指数、芯层厚度、长厚比、曲率半径与厚度比对量纲为一的固有频率的影响。结果表明:与已有结果比较,基于考虑横向拉伸影响的正弦剪切变形理论,功能梯度夹层双曲扁壳对量纲为一的固有频率的计算结果是准确的;量纲为一的固有频率随着材料性质梯度变化指数的增加而单调减小,随着长厚比的增加而单调增加,随着芯层厚度的增加而单调增加。
[Abstract]:Based on the high order shear deformation theory of hyperbolic sine, considering the influence of transverse tension on the power function term of lateral displacement increasing thickness coordinate, the free vibration of functionally gradient sandwich hyperbolic shallow shell under simply supported condition is studied. Based on the Hamilton principle, the dynamic model is derived, and the natural frequency of the hyperbolic shallow shell whose surface layer is functionally graded material and the core layer is homogeneous is calculated by Navier method, and the results are compared with the existing results. The effects of the property gradient index, core thickness, ratio of length to thickness, curvature radius to thickness ratio are analyzed. The results show that, based on the theory of sinusoidal shear deformation considering the influence of transverse tension, the calculation results of the natural frequency of the functionally graded sandwich hyperbolic shallow shell with one dimension are accurate compared with the existing results. The natural frequency of a dimension decreases monotonously with the increase of the material property gradient index, increases monotonously with the increase of the ratio of length to thickness, and increases monotonously with the increase of the thickness of the core layer.
【作者单位】： 北京工业大学机电工程学院;北京信息科技大学理学院;北京信息科技大学机电工程学院;
【基金】：国家自然科学基金(11290152;11472056;61473325)
【分类号】：TB34
，
本文编号：2145244
[Abstract]:Based on the high order shear deformation theory of hyperbolic sine, considering the influence of transverse tension on the power function term of lateral displacement increasing thickness coordinate, the free vibration of functionally gradient sandwich hyperbolic shallow shell under simply supported condition is studied. Based on the Hamilton principle, the dynamic model is derived, and the natural frequency of the hyperbolic shallow shell whose surface layer is functionally graded material and the core layer is homogeneous is calculated by Navier method, and the results are compared with the existing results. The effects of the property gradient index, core thickness, ratio of length to thickness, curvature radius to thickness ratio are analyzed. The results show that, based on the theory of sinusoidal shear deformation considering the influence of transverse tension, the calculation results of the natural frequency of the functionally graded sandwich hyperbolic shallow shell with one dimension are accurate compared with the existing results. The natural frequency of a dimension decreases monotonously with the increase of the material property gradient index, increases monotonously with the increase of the ratio of length to thickness, and increases monotonously with the increase of the thickness of the core layer.
【作者单位】： 北京工业大学机电工程学院;北京信息科技大学理学院;北京信息科技大学机电工程学院;
【基金】：国家自然科学基金(11290152;11472056;61473325)
【分类号】：TB34
，
本文编号：2145244
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