拱式结构振分析的传递矩阵法
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ANALYSIS FOR VIBRATION OF ARCHES BY TRANSFER MATRIX METHOD
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    摘要:

    本文用传递矩阵法分析拱式结构的动力特性.计算模型采用具有若干集中质量的折线型刚架.在建立拱的振动传递方程时,考虑了拱内的轴向变形和几何刚度.应用传递矩阵法,可同时求出拱的自振频率和振型以及相应的内力相对值.此法的适用范围较广,计算精度较高,运算简捷,便于在微机上实现.

    Abstract:

    This paper presents a transfer matrix method for analysing dynamiccharacteristics of arches.The calculation models are the broken-line rigidframes with a series of mass points,which are simplified from the criginalstructures.The geometric stiffness and the axial deformation of arch are consi-dered in formulating its vibration transfer equation.Through application ofthe method,the vibration modes and the relative values of internal forces canbe obtained simultaneously as soon as the vibration frequencies of arch areknown.The simple and direct method developed may be easily calculated withmicrocomputer,and it has extensive usage with high precision.

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黄东捷.拱式结构振分析的传递矩阵法[J].土木与环境工程学报(中英文),1988,10(1). Huang Dongjie. ANALYSIS FOR VIBRATION OF ARCHES BY TRANSFER MATRIX METHOD[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,1988,10(1).10.11835/j. issn.1674-4764.1988.01.003

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