周叮. 非均匀温度场中弹性直杆横向、纵向及扭转振动固有频率的渐近解法[J]. 工程力学, 1989, 6(3): 55-62.
引用本文: 周叮. 非均匀温度场中弹性直杆横向、纵向及扭转振动固有频率的渐近解法[J]. 工程力学, 1989, 6(3): 55-62.
Zhou Ding. AN ASYMIPOTOTIC METHOD FOR NATURAL FREQUENCIES OF TRANSVERSE AND LONGITUDINAL AND TORSIONAL FREE VIBRATIONS OF ELASTIC BARS IN NON-UNIFORM TEMPERATURE FIELDS[J]. Engineering Mechanics, 1989, 6(3): 55-62.
Citation: Zhou Ding. AN ASYMIPOTOTIC METHOD FOR NATURAL FREQUENCIES OF TRANSVERSE AND LONGITUDINAL AND TORSIONAL FREE VIBRATIONS OF ELASTIC BARS IN NON-UNIFORM TEMPERATURE FIELDS[J]. Engineering Mechanics, 1989, 6(3): 55-62.

非均匀温度场中弹性直杆横向、纵向及扭转振动固有频率的渐近解法

AN ASYMIPOTOTIC METHOD FOR NATURAL FREQUENCIES OF TRANSVERSE AND LONGITUDINAL AND TORSIONAL FREE VIBRATIONS OF ELASTIC BARS IN NON-UNIFORM TEMPERATURE FIELDS

  • 摘要: 本文研究了非均匀温度场中弹性直杆的横向、纵向及扭转振动问题,给出了一种既能保证较高精度,计算又很简单的固有频率的渐近解法,具体给出了温度沿杆线性分布时固有频率一级近似的计算公式。

     

    Abstract: This paper studies transverse and longitudinal and torsional free vibrations of elastic bars in non-unifOrm temperature fields. An simple asympototic method with high accuracy for calculation of natural frequencies is presented. The lst order approximate calculating formulae of natural frequencies are given when the temperature is linear distributed along bars.

     

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