期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

权函数对梁自由振动问题计算精度的影响 被引量：3

Weight function effects on computational precision of free vibration of beam
下载PDF
导出
摘要 为了比较权函数对无网格法计算精度的影响,选取样条型权函数和指数型权函数及其不同影响域半径,运用移动最小二乘法分别构造插值函数。以此插值函数作为位移场函数,建立了梁结构动力学无网格方程。采用罚函数方法满足本征边界条件,计算了梁的固有频率和模态向量,得到梁的自由振动问题的两种权函数及其不同影响域半径的无网格解,并与解析解进行了比较分析。数值算例验证了该方法的可靠性。 In order to compare the influence of weight function on computational precision, the quartic spline function and exponential function were chosen as the weight function. Two interpolation functions were used as field functions and Meshless dynamic equations were built. The penalty method was utilized to enforce essential boundary conditions and frequency and modal vector were computed. Two Meshless results of free vihration of heam and their different radius were compared with analytical results. The numerical example of beam structrue validated the method are reliable.
作者 焦玉玲 刘寒冰 秦绪喜 秦卫军
机构地区 吉林大学应用技术学院 吉林大学交通学院
出处 《吉林大学学报（工学版）》 EI CAS CSCD 北大核心 2008年第3期624-629,共6页 Journal of Jilin University:Engineering and Technology Edition
基金 国家留学回国人员基金项目
关键词 结构力学 自由振动 权函数 结构动力学 计算精度 structural mechanics free vibration weight function structure dynamics computional precision
分类号 O343.1 [理学—固体力学]
  • 引文网络
  • 相关文献

参考文献15

  • 1Belytschko T, Gu L, Lu Y Y. Fracture and crack growth by element-free Galerkin methods[J]. Modeling and Smulation in Materials Science and Engineering, 1994,2 : 519-534.
  • 2Xu Y, Saigal S. Element free Galerkin study of steady quasi-static crack growth in plane strain tension in elastic-plastic materials[J]. Comput Mech, 1998,22 : 255-265.
  • 3Cordes L W, Moran B. Treatment of material discontinuity in the element-free Galerkin method [J]. Comput Methods Appl Mech Engng, 1996,139:75-89.
  • 4Kim N H, Choi K K, Chen J S, et al. Meshless shape design sensitivity analysis and optimization for contact problem with friction [J]. Comput Mech, 2000,25 : 157-168.
  • 5Krysl P,Belytschko T. Analysis of thin plates by the element-free Galerkin method [J]. Comput Mech, 1996,17 : 26-35.
  • 6Krysl P,Belytschko T. Analysis of thin shells by the element-free Galerkin method [J]. Int J Sol and Struct, 1996,33:3057-3080.
  • 7Nagashima Toshio. Node-by-node meshless approach and its applications to structural analyses[J]. Int J Num Meth Engng, 1999,46:341-385.
  • 8Liu W K,Jun S,Zhang Y F, Reproducing kernel particle methods for structural dynamics[J]. Int J Num. Meth Engng, 1995,38 : 1655-1679.
  • 9Ouatouati Johnson. A new approach for numerical modal analysis using the element-free method[J]. Int J Num Meth Engng,1999,46:1-27.
  • 10Chen J T,Chen I L, Chen K H, et al. A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function[J]. Engineering Analysis with Boundary Elements, 2004,28 : 535-545.

二级参考文献29

  • 1Nayroles B, Touzot G, Villon P. Generaling the finite element method: diffuse approximation and diffuse elements. Comput Mech, 1992, 10:307-318.
  • 2Belytschko T, Lu YY, Gu L. Element-free Galerkin methods. lnt J Numer Methods Eng, 1994, 37:229-256.
  • 3Lu YY, Belytschko T, Gu L. A new implementation of the element-free Galerkin method. Comput Methods Appl Mech Enqrg, 1994, 113:397-414.
  • 4Zhu T, Atluri SN. A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method. Comput Mech, 1998, 21:211-222.
  • 5王勖成 邵敏.有限单元法基本原理和数值方法[M].北京：清华大学出版社,1996..
  • 6Akesson B, Tagnfors H, Johanesson O. Charts and Tables in the Area of Structural Vibrations (in Chinese, translated from Swedish)[M]. Beijing: Mechanical Engineering Press, 1992.
  • 7Fletcher H J, Woodfield N, Larsen K. Natural Frequencies of Plates with Opposite Edges Supported[M]. AD 107224, 1956.
  • 8Clough R W, Penzien J. Dynamics of Structures[M]. New York: McGraw-Hill, 1975.
  • 9徐芝纶.弹性力学(第二版)[M].北京:人民教育出版社,1981.(Xu Gillian. Elasticity (2rd edition)[M]. Beijing: People Education Press,1981.(in Chinese))
  • 10Belytschk T, et al. Meshless method: an overview and recent developments[J]. Computer Methods in Applied Mechanics and Engineering,1996,139:3-47.

共引文献19

同被引文献30

  • 1吕朝锋,陈伟球,边祖光.状态空间微积分法分析Winkler地基梁的自由振动[J].浙江大学学报（工学版）,2004,38(11):1451-1454. 被引量：2
  • 2刘龄嘉,贺拴海,赵小星.在役混凝土简支梁有效预应力计算[J].交通运输工程学报,2005,5(3):47-51. 被引量：37
  • 3刘龄嘉,贺拴海,赵小星.预应力对混凝土简支梁振动频率影响的试验研究[J].铁道建筑,2007,47(8):10-12. 被引量：13
  • 4张耀庭,汪霞利,李瑞鸽.全预应力梁振动频率的理论分析与试验研究[J].工程力学,2007,24(8):116-120. 被引量：21
  • 5苏金明,阮沈勇.MATLAB实用教程[M].2版.北京:电子工业出版社,2008.
  • 6Kim Jeong-tae, Ryu Yeon-sun, Yun Chung-bang. Vibration-based method to detect prestress-loss in beam-type bridges[C] // Proceedings of the International Society for Optical Engineering(SPIE), 2003 : 559-568.
  • 7Kim Jeong-tae, Yun Chung-bang, Ryu Yeon-sun, et al. Identification of prestress-loss in PSC beamsusing model information[J]. Structural and Mechanics, 2004, 17(3-4):467-482.
  • 8Saiidi M, Douglas B, Feng S. Prestress force effecton vibration frequency of concrete bridges[J]. Journal of Structural Engineering, 1994, 120(7): 2233- 2241.
  • 9Jagmoban L H, Ahmed H K. Discussion of prestress force effect on vibration frequency of concrete bridges [J]. Journal of Structural Engineering, 1995, 121(1) :458-460.
  • 10P. Krysl,T. Belytschko.Analysis of thin plates by the element-free Galerkin method[J]. Computational Mechanics . 1995 (1-2)

引证文献3

二级引证文献12

吉林大学学报（工学版）
2008年 第3期

相关作者

相关机构

相关主题

;
使用帮助 返回顶部