Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Engineering Mechanics》 2002-06
Add to Favorite Get Latest Update

ON FREE VIBRATION OF THICK SUPERELLIPTICAL PLATES

WU Lan-he , LIU Jin , LI Yan-qiang (Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute 050043)  
This paper presents a free vibration study of moderately thick super-elliptical plates with various boundary constraints using the differential cubature method. The differential cubature method is a numerical procedure which expressing a linear operation of a continuous function or any orders of partial derivatives of multivariable function or combinations of them as a weighted linear sum of discrete function values within the overall domain of a problem. Through this new numerical procedure, the equilibrium governing equations and boundary conditions are transformed into a set of homogeneous linear algebraic equations about displacements at all discrete points. This is a typical eigenvalue problem, of which the eigenvalues can be calculated by the subspace iteration method. The applicability and the efficiency of this method are demonstrated through the convergence and comparison studies for the first five frequency parameters of super-elliptical plates with different boundary conditions.
【CateGory Index】: TU311.3
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 3 Hits
1 Wu Lanhe(Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, China);Differential cubature element method for free vibration analysis of moderately thick plates with discontinuities[J];Chinese Journal of Computational Mechanics;2004-01
2 Liu Jin 1, Wu Lanhe 1, Zhang Xiaowei 2 (1 Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute,Shijiazhuang 050043,China; 2 President Office, Shijiazhuang Railway Institute, Shijiazhuang 050043,China);On Bending of Functionally Graded Rectangular Plates[J];Journal of Shijiazhuang Railway Institute;2003-02
3 Wu Lanhe, Ren Jianying, Shi Peizhe(1.Department of Engineering Mechanics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China;2. School of Civil Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, China);Free Vibration Analysis of Stepped Mindlin Plates Subjected to Inplane Loads[J];Journal of Shijiazhuang Railway Institute;2005-02
【Co-references】
Chinese Journal Full-text Database 9 Hits
1 Li Zilin Song Deyu (Hebei Institute of Architectural Science and Technology, Handan 056038);VIBRATION ANALYSIS OF RECTANGULAR THIN PLATE WITH HOLES USING THE TRIANGULAR THIN PLATE GENERALIZED CONFORMING ELEMENT[J];ENGINEERING MECHANICS;1998-01
2 Wu Lanhe,\ Li Chunyu (Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, China);Solution of Helmholtz equation by differential cubature method[J];Chinese Journal of Computational Mechanics;2003-02
3 Wu Lanhe(Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, China);Differential cubature element method for free vibration analysis of moderately thick plates with discontinuities[J];Chinese Journal of Computational Mechanics;2004-01
4 Wang Baolin; Du Shanyi; Han Jiecai(Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China);THERMOMECHANICAL COUPLING ANALYSIS ADVANCES OF FUNCTIONALLY GRADED MATERIAL STRUCTURE[J];ADVANCES IN MECHANICS;1999-04
5 Wu Lanhe Yang Congjuan Li Yanqiang (Department of Mechanics and Engineering Science,Shijiazhuang Railway Institute,Shijiazhuang 050043);A New Numerical Solution for Timoshenko Beams on Elastic Foundations by Differential Cubature Method[J];Journal of Shijiazhuang Railway Institute;2001-04
6 Wu Lanhe Wang Daobin (Shijiazhuang Railway Institute, 050043);Free Vibration Analysis for Reissner's Rectangular Plate with Discontinuities[J];Chinese Journal of Applied Mechanics;2001-02
7 Zhang Yingshi Jiang Chiping (Beijing University of Aeronautics and Astronautics, Beijing, 100083);Vibrations of Rectangular Stepped Plates[J];CHINESE JOURNAL OF APPLIED MECHANICS;1998-04
8 Wu Lanhe (Shijiazhuang Railway Institute,Shijiazhuang 050043)Cao Kai (Huabei Medicine corporation,Shijiazhuang 050031);APPLICATION OF DQE METHOD IN PLATE VIBRATION PROBLEMS[J];Journal of Vibration and Shock;2001-03
9 Chen Weiqiu Ye Guiru Cai Jinbiao Ding Haojiang (Department of Civil Engineering, Zhejiang University Hangzhou,310027);Free Vibration of Transversely Isotropic FGM Rectangular Plates[J];Journal of Vibration Engineering;2001-03
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 LIU Jie-bin(School of Civil Engineering,Hefei University of Technology,Hefei 230009,China);Three dimensional elasticity analysis of functionally graded thick plates[J];Journal of Anhui Institute of Architecture & Industry(Natural Science);2006-03
2 SHEN Huishen School of Civil Engineering and Mechanics, Shanghai Jiao Tong University, Shanghai 200030, China;BENDING, BUCKLING AND VIBRATION OF FUNCTIONALLY GRADED PLATES AND SHELLS[J];Advances In Mechanics;2004-01
3 Wu Lanhe, Ren Jianying, Shi Peizhe(1.Department of Engineering Mechanics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China;2. School of Civil Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, China);Free Vibration Analysis of Stepped Mindlin Plates Subjected to Inplane Loads[J];Journal of Shijiazhuang Railway Institute;2005-02
China Proceedings of conference Full-text Database 2 Hits
1 JIA Shang-shuai~1 YANG Zhi-an~2 (1.College of Mechanical Engineering,Hebei Polytechnic University,Tangshan 063009,China; 2.Tangshan College and Tangshan Key Laboratory of Structure and Vibration Engineering,Tangshan 063000,China);Study on subharmonic resonance of ceramic and metal functionally graded material rectangular plate subjected to mechanical force[A];[C];2007
2 YANG Zhi-an~1 JIA Shang-shuai~2 (1.Tangshan College and Tangshan Key Laboratory of Structure and Vibration Engineering,Tangshan 063000,China; 2.College of Mechanical Engineering,Hebei Polytechnic University,Tangshan 063009,China);The nonlinear vibration model of ceramic and metal functionally graded material rectangular plate subjected to mechanical force[A];[C];2007
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved