Mathematical analysis of flexural vibrations of inhomogeneous rectangular plates and beams subjected to cyclic loadings of temperature change and external force

被引：0
作者：
Ryuusuke Kawamura
Hiroshi Fujita
Yoshihiro Ootao
Yoshinobu Tanigawa
Kiyohiko Ikeda
Hiroyuki Kinoshita
机构：
[1] University of Miyazaki,Department of Mechanical Systems Engineering
[2] Shimano Inc.,Graduate School of Engineering
[3] Head Office,undefined
[4] Osaka Prefecture University,undefined
[5] Osaka Prefecture University,undefined
来源：
Acta Mechanica | 2010年 / 214卷
关键词：
Cyclic Loading; High Aspect Ratio; Rectangular Plate; Linear Thermal Expansion; Inhomogeneous Material;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Flexural vibrations of rectangular plates and beams which consist of functionally inhomogeneous materials due to cyclic loadings of external force and temperature change are analyzed mathematically. Effects of aspect ratio of rectangular plates and loading frequency on the interference between the flexural vibration due to cyclic loading and that due to cyclic heating are discussed. The amplification factor in the dynamic behavior to the quasi-static one is also studied. Especially, comparing transient responses in flexural vibration of rectangular plates with those of beams, the difference in the amplifications of out-of-plane deflection and stresses between plates and beams is discussed.
引用
收藏
页码：133 / 144
页数：11
相关论文
共 13 条
[1]  
Niino M.(1990)Recent development status of functionally gradient materials ISIJ J. 30 699-703
[2]  
Maeda S.(1956)Thermally induced vibrations of beams J. Aeronaut. Sci. 23 179-181
[3]  
Boley B.A.(1957)Dynamic response of beams and plates to rapid heating Trans. ASME J. Appl. Mech. 24 413-416
[4]  
Boley B.A.(1972)Approximate analyses of thermally induced vibrations of beams and plates Trans. ASME J. Appl. Mech. 39 212-216
[5]  
Barber A.D.(2008)Fundamental thermo-elasticity equations for thermally induced flexural vibration problems for inhomogeneous plates and thermo-elastic dynamical responses to a sinusoidally varying surface temperature J. Eng. Math. 61 143-160
[6]  
Boley B.A.(2008)Thermally induced vibration of inhomogeneous material rectangular plate due to cyclic variation of thermal and mechanical loads AIP Conf. Proc. 973 694-699
[7]  
Kawamura R.(undefined)undefined undefined undefined undefined-undefined
[8]  
Tanigawa Y.(undefined)undefined undefined undefined undefined-undefined
[9]  
Kusuki S.(undefined)undefined undefined undefined undefined-undefined
[10]  
Hamamura H.(undefined)undefined undefined undefined undefined-undefined
12