[1]戴德成,陈风国.缓变温度场下正交各向异性椭圆板振动问题[J].东南大学学报(自然科学版),1989,19(4):80-89.[doi:10.3969/j.issn.1001-0505.1989.04.012]
　Dai Decheng Chen Fongguo(Department of Mathematics and Mechanics).The Vibration Problems of an Orthotropic Elliptic Plate under Slowly Varying Temperature Field[J].Journal of Southeast University (Natural Science Edition),1989,19(4):80-89.[doi:10.3969/j.issn.1001-0505.1989.04.012]
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缓变温度场下正交各向异性椭圆板振动问题()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
19
期数:
1989年第4期
页码:
80-89
栏目:
本刊信息
出版日期:
1989-07-20

文章信息/Info

Title:
The Vibration Problems of an Orthotropic Elliptic Plate under Slowly Varying Temperature Field
作者:
戴德成; 陈风国
东南大学数学力学系； 东南大学数学力学系
Author(s):
Dai Decheng Chen Fongguo(Department of Mathematics and Mechanics)
关键词:
振动;  热弹效应;  板/板壳振动;  正交各向异性椭圆板振动
Keywords:
vibration;  thermoelastio effect;  plates / vibrations of plates and shells;  vibrations of an orthotropie eillptic plate
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1989.04.012
摘要:
本文联合使用奇异摄动法和Galerkin法求解任意缓变温度场下正交各向异性椭圆板振动问题。给出了椭圆板自由振动频率受热效应影响的显式表示。最后给出算例,具体显示热效应对椭圆板自由振动的影响。
Abstract:
In this paper the vibration problems of an orthotropic elliptic plate under slowly varying temperature field are dealt with by using singular perturbation method and Galerkin method. The explicit expressions of the influences of thermal effect on the natural frequeney of elliptic plate are derived. Finally numerical example is worked out and the influences of the thermal effect on the eigenfrequency are also shown numerically.

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更新日期/Last Update: 2013-04-30