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弹性地基上转动功能梯度材料Timoshenko梁自由振动的微分变换法求解 被引量:10
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作者 滕兆春 昌博 付小华 《中国机械工程》 EI CAS CSCD 北大核心 2018年第10期1147-1152,共6页
基于Timoshenko梁理论研究弹性地基上转动功能梯度材料(FGM)梁的自由振动。首先确定功能梯度材料Timoshenko梁的物理中面,利用广义Hamilton原理推导出该梁在弹性地基上转动时横向自由振动的两个控制微分方程。其次采用微分变换法(DTM)... 基于Timoshenko梁理论研究弹性地基上转动功能梯度材料(FGM)梁的自由振动。首先确定功能梯度材料Timoshenko梁的物理中面,利用广义Hamilton原理推导出该梁在弹性地基上转动时横向自由振动的两个控制微分方程。其次采用微分变换法(DTM)对控制微分方程及其边界条件进行变换,计算了弹性地基上转动功能梯度材料Timoshenko梁在夹紧-夹紧、夹紧-简支和夹紧-自由三种不同边界条件下横向自由振动的量纲一固有频率,与已有文献的计算结果进行比较,退化后结果一致。最后讨论了不同边界条件、转速、弹性地基模量和梯度指数对功能梯度材料Timoshenko梁自振频率的影响。结果表明:功能梯度材料Timoshenko梁的量纲一固有频率随量纲一转速和量纲一弹性地基模量的增大而增大;在量纲一转速和量纲一弹性地基模量一定的情况下,梁的量纲一固有频率随着功能梯度材料梯度指数的增大而减小。 展开更多
关键词 弹性地基 功能梯度材料 转动Timoshenko梁 自由振动 微分变换法
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Three-dimensional free vibration analysis of multi-directional functionally graded piezoelectric annular plates on elastic foundations via state space based differential quadrature method 被引量:3
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作者 M.H.YAS N.MOLOUDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第4期439-464,共26页
The three-dimensional free vibration analysis of a multi-directional func- tionally graded piezoelectric (FGP) annular plate resting on two parameter (Pasternak) elastic foundations is investigated under different... The three-dimensional free vibration analysis of a multi-directional func- tionally graded piezoelectric (FGP) annular plate resting on two parameter (Pasternak) elastic foundations is investigated under different boundary conditions. The material properties are assumed to vary continuously along the radial and thickness directions and have exponent-law distribution. A semi-analytical approach named the state space based differential quadrature method (SSDQM) is used to provide an analytical solution along the thickness using the state space method (SSM) and an approximate solution along the radial direction using the one-dimensional differential quadrature method (DQM). The influence of the Winkler and shear stiffness of the foundation~ the material property graded variations, and the circumferential wave number on the nomdimensional natural frequency of multi-directional FGP annular plates is studied. 展开更多
关键词 multi-directional functionally graded PIEZOELECTRIC annular plate freevibration
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褶皱发展对平面张拉薄膜屈曲后动力特性的影响 被引量:3
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作者 马瑞 杨庆山 王晓峰 《工程力学》 EI CSCD 北大核心 2013年第5期207-214,220,共9页
剪切位移荷载作用下,平面张拉薄膜经历缺陷、临界褶皱和宏观褶皱3种状态。该文依次分别对处于3种状态的薄膜进行自振特性分析,并明确了3种状态的划分原则。计入平面张拉薄膜的微小抗弯刚度,采用ANSYS/LS-DYNA中显式-隐式连续求解的方法... 剪切位移荷载作用下,平面张拉薄膜经历缺陷、临界褶皱和宏观褶皱3种状态。该文依次分别对处于3种状态的薄膜进行自振特性分析,并明确了3种状态的划分原则。计入平面张拉薄膜的微小抗弯刚度,采用ANSYS/LS-DYNA中显式-隐式连续求解的方法对屈曲后薄膜的动力特性进行分析。依据忽略面外变形的理想模型自振特性分析结果,把平面张拉薄膜的振型划分为贯通振型和间断振型,贯通振型又划分为纵向贯通振型和横向贯通振型。研究结果表明:薄膜处于缺陷状态时,面外变形对薄膜自振特性的影响可以完全忽略,受主应力分布的影响,低阶振型中纵向贯通振型更易于出现,纵向贯通振型的波峰或波谷数量随着频率阶数的递增而规律递增。临界褶皱状态,薄膜的各阶频率均随剪切位移的增加而出现大幅波动,面外变形对薄膜振型的影响逐渐增大,横向贯通振型消失,纵向贯通振型的递增规律逐渐破坏;宏观褶皱状态,薄膜的各阶频率趋于稳定,其主应力分布及振型受面外变形的影响显著。 展开更多
关键词 薄膜褶皱 非线性屈曲 平面张拉薄膜 初始缺陷 自振特性
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Effects of Fiber Volume Fraction on Damping Properties of Three-Dimensional and Five-Directional Braided Composites 被引量:1
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作者 高岩 李嘉禄 《Journal of Donghua University(English Edition)》 EI CAS 2015年第3期458-465,共8页
The effects of fiber volume fraction on damping properties of carbon fiber three-dimensional and five-directional( 3D-5Dir)braided carbon fiber / epoxyres in composite cantilever beams were studied by experimental mod... The effects of fiber volume fraction on damping properties of carbon fiber three-dimensional and five-directional( 3D-5Dir)braided carbon fiber / epoxyres in composite cantilever beams were studied by experimental modal analysis method. Meanwhile,carbon fiber plain woven laminated / epoxy resin composites with different fiber volume fraction were concerned for comparison. The experimental result of braided specimens shows that the first three orders of natural frequency increase and the first three orders of the damping ratios of specimens decrease, when the fiber volume fraction increases. Furthermore,larger fiber volume fraction will be valuable for the better anti-exiting property of braided composites,and get an opposite effect on dissipation of vibration energy. The fiber volume fraction is an important factor for vibration performance design of braided composites. The comparison between the braided specimens and laminated specimens reveals that 3D braided composites have a wider range of damping properties than laminated composites with the same fiber volume fractions. 展开更多
关键词 damping properties experimental modal analysis three-dimensional and five-directional(3D-5Dir) braided composites free vibration characters fiber volume fraction
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