Citation: | Jin Jing, Xing Yufeng. Boundary element solution method of free vibration of Timoshenko beam[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, (7): 976-980. (in Chinese) |
[1] |
Brebbia C A,Walker S.Boundary element techniques in engineering [M].London:Newnes-Butterworths,1980
|
[2] |
Brebbia C A,Telles J C F,Wrobel L C.Boundary element techniques-theory and applications in engineering [M].New York:Springer-Verlag,1984
|
[3] |
杨德全,赵忠生.边界元理论及应用[M].北京:北京理工大学出版社,2002
Yang Dequan,Zhao Zhongsheng.The theory and application of boundary element method [M].Beijing:Beijing Institute of Technology Press,2002(in Chinese) |
[4] |
Wei X,Leu L J,Chandra A.Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method [J].International Journal of Solids and Structures,1994,31(4):533-550
|
[5] |
Chen Chao-shi,Pan ernian,Amadei Bernard.Fracture mechanics analysis of cracked discs of anisotropic rock using the boundary element method [J].International Journal of Rock Mechanics and Mining Sciences,1998,35(2):195-218
|
[6] |
Bialecki R A.Solving heat radiation problems using the boundary element method [M].Boston:Computational Mechanics Publications,1993
|
[7] |
陈剑,高煜,张永斌,等.基于有限元-边界元的声学构形灵敏度分析[J].振动工程学报,2009,22(2):213-217
Chen Jian,Gao Yu,Zhang Yongbin,et al.Acoustic configuration sensitivity analysis based on FEM and BEM [J].Journal of Vibration Engineering,2009,22(2):213-217(in Chinese) |
[8] |
林庆华,栗保明.有限元/边界元耦合法计算电磁轨道炮三维瞬态涡流场[J].南京理工大学学报:自然科学版,2010,34(2):218-221
Lin Qinghua,Li Baoming.Finite-element /boundary-element coupling method for 3D transient eddy current field calculation in electrom agnetic railgun [J].Journal of Nanjing University of Science and Technology:Natural Science,2010,34(2):218-221(in Chinese) |
[9] |
彭红梅,杨德全.双分叉动脉血流动力学特性的边界元分析[J].医用生物力学,2010,25(4):283-287
Peng Hongmei,Yang Dequan.Boundary element analysis on characteristics of double bifurcation arterial hemo-dynamics [J].Journal of Medical Biomechanics,2010,25(4):283-287(in Chinese) |
[10] |
黄玉美,张广鹏,高峰.虚拟样机整机结构特性边界元法仿真[M].北京:机械工业出版社,2004
Huang Yumei,Zhang Guangpeng,Gao Feng.The simulation with boundary element method of the whole structural characteristics for the virtual prototype [M].Beijing:China Machine Press,2004(in Chinese) |
[11] |
Jesus A,Costa J.Plate vibrations using BEM [J].Application Mathematics Modelling,1988,12:78-85
|
[12] |
Tanaka M,Matsumoto T,Shiozaki A.Application of boundary-domain element method to the free vibration problem of plate structures [J].Computers & Structures,1998,66(6):725-735
|
[13] |
Providakis C P,Beskos D E.Free and forced vibrations of plates by boundary elements [J].Computer Methods in Applied Mechanics and Engineering,1989,74(3):231:250
|
[14] |
邢誉峰,李敏.计算固体力学原理与方法[M].北京:北京航空航天大学出版社,2011 Xing Yufeng,Li Min.The theory and method of computational solid mechanics [M].Beijing:Beijing University of Aeronautics and Astronautics Press,2011(in Chinese)
|
[15] |
邢誉峰,李敏.工程振动基础[M].北京:北京航空航天大学出版社,2011
Xing Yufeng,Li Min.The foundation of engineering vibration [M].Beijing:Beijing University of Aeronautics and Astronautics Press,2011(in Chinese) |
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