盛佳, 杨加明. 利兹法求解正交各向异性矩形板的自由振动[J]. 南昌航空大学学报(自然科学版), 2011, 25(2): 65-72.
引用本文: 盛佳, 杨加明. 利兹法求解正交各向异性矩形板的自由振动[J]. 南昌航空大学学报(自然科学版), 2011, 25(2): 65-72.
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SHENG Jia, YANG Jia-ming. Free Vibration of Orthotropic Rectangular Plates by Ritz Method[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(2): 65-72.
Citation: SHENG Jia, YANG Jia-ming. Free Vibration of Orthotropic Rectangular Plates by Ritz Method[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(2): 65-72.
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利兹法求解正交各向异性矩形板的自由振动

Free Vibration of Orthotropic Rectangular Plates by Ritz Method

    摘要
  • 摘要: 在正交各向异性矩形板四边的每边任取简支、固定和自由边界之一的情况下,对其固有振动频率进行统一求解.根据边界条件和固有振型设定振型函数,把振型函数代入到应变能和动能中,最后利用利兹法求得正交各向异性矩形板的各阶振动频率.

     

    Abstract: The general frequency of flexural vibration of orthotropic rectangular plates is solved with simply supported,clamped and free edges.The different vibration functions are involved into strain energy and kinetic energy with different boundary conditions and natural modes.The frequency of flexural vibration of orthotropic rectangular plates with any edges is obtained using Rith method.

     

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