基于UPFs的三维紧支粘弹性边界单元
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摘要
基于三维粘弹性人工边界理论,推导建立了类似于普通有限单元而具有粘弹性人工边界特性的三维紧支粘弹性边界单元,并结合UPFs二次开发的特点成功嵌入通用有限元软件ANSYS中。通过Lamb表面源问题和内源问题算例,对上述建立的单元进行了验证,计算结果表明,该单元具有与等效弹簧-阻尼器单元相同的精度和稳定性,并且使用更为简便,可操作性更强,同时基于ANSYS强大的开发平台和非线性计算能力,尚可开展其他特殊用途单元的二次开发。
A 3D compact viscous-spring boundary element with stiffness and damping matrixes similar to general finite element was established though viscous-spring artificial boundary theory and embedded in the generalized finite element software ANSYS based on User Programmable Features(UPFs).The lamb problem and inner source problem were analyzed as verification.The results show that the present element has the same good performance of accuracy and stability as the equivalent spring-damper element and the former is more simple and applicable.Further more,with the powerful development platform and numerical solvers in ANSYS,the mentioned method can be extended to add other elements which are used for specific applications to standard ANSYS procedure.
A 3D compact viscous-spring boundary element with stiffness and damping matrixes similar to general finite element was established though viscous-spring artificial boundary theory and embedded in the generalized finite element software ANSYS based on User Programmable Features(UPFs).The lamb problem and inner source problem were analyzed as verification.The results show that the present element has the same good performance of accuracy and stability as the equivalent spring-damper element and the former is more simple and applicable.Further more,with the powerful development platform and numerical solvers in ANSYS,the mentioned method can be extended to add other elements which are used for specific applications to standard ANSYS procedure.
引文
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[2]John P.Wolf,Masato Motosaka.Recursive evaluation of interaction forces of unbounded soil in the time domain[J].Earthquake Engineering andStructure Dynamic.1989,18:345-363.
[3]林皋,栾茂田,陈怀海.土-结构相互作用对高层建筑非线性地震反应的影响[J].土木工程学报,1993,26(4):1-13.Lin G,Luan M T,Chen H H.Soil-structure interaction effect on the nonlinear seismic response of high-rise bultdings[J].China Civtl Engineer-ing Jounnal,1993,26(4):1-13.
[4]Lysmer J,Kulemeyer R L.Finite dynamic model forinfinite media[J].Journal of Engineering Mechanics.ASCE,1969,95:759～877.
[5]Liao Z P,Wong H L.A Transmitting Boundary for the Numerical Simulation of Elastic Wave Propagation[J].Soil Dyn.And Earth.Eng.1984,(3):174～183
[6]刘晶波,吕彦东.结构-地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55-64.Liu J B,Lu YD.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64.
[7]谷音,刘晶波,杜义欣.三维一致粘弹性人工边界及等效粘弹性边界单元[J].工程力学,2007,24(12):31-37.Gu Y,Liu J B,Du Y X.3D consistent viscous-spring artificial boundary and viscous-spying boundary element[J].Engineering Mechanics,2007,24(12):31-37.
[8]Programmer’s Manual for ANSYS[M].ANSYS Inc.2007.
[9]ANSYS有限公司.ANSYS技术报告[R].北京:美国ANSYS公司北京办事处,2000.ANSYS Incorporated.ANSYS technical report[R].BeiJing:BeiJing otfice of ANSYS Incorporated,2000.
[10]刘晶波,王振宇,杜修力,杜义欣.波动问题中的三维时域粘弹性人工边界[J].工程力学,2005,22(6):46-51.Liu J B,Wang ZY,Du XL,Du Y X.Three-dimentsional visco-elastic artificial boundaries in time domain for wave motion problems[J].Engi-neering Mechanics,2005,22(6):46-51.
[11]Pekeris C L.Proceedings of the national academy of sciences[C].USA,1955,(41):469.
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