结构动力有限元分析的阻尼建模及评价
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摘要
提出一种统一的阻尼模型的定量评价方法和评价指标,设计一套用于评价各种阻尼模型的标准测试案例。分析工程结构动力学建模过程中几种已有的阻尼模型和一种新的阻尼模型———单元化阻尼比法,给出其各自的程序实现。通过标准测试案例的数值测试,比较这些阻尼建模法的性能差异。结果表明,阻尼特性单元化比总体考虑的阻尼特性更趋合理,而单元化阻尼比法则在控制结构总体模态阻尼比方面具有优势。
A uniform evaluation method and evaluation index for various kinds of damping models are proposed.A standard test case is designed for evaluation.Several existent damping modeling methods and a new elemental damping ratio method used in the process of engineering structure dynamical analysis are compared and programmed.A standard example is designed to give all the models an impartialtest.Numerical tests on the standard test case show that elemental damping property is more reasonable than that of integral considerations,while the elemental damping ratio model performs well in controlling the precision of damping ratio and in acclimatizing itself to non-classical damping situations or complex damping cases.
A uniform evaluation method and evaluation index for various kinds of damping models are proposed.A standard test case is designed for evaluation.Several existent damping modeling methods and a new elemental damping ratio method used in the process of engineering structure dynamical analysis are compared and programmed.A standard example is designed to give all the models an impartialtest.Numerical tests on the standard test case show that elemental damping property is more reasonable than that of integral considerations,while the elemental damping ratio model performs well in controlling the precision of damping ratio and in acclimatizing itself to non-classical damping situations or complex damping cases.
引文
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[2]Tong M,Liang Z,Lee G C.Physical Space Solutions of Non-Proportionally Damped Systems,NCEER technical reportNCEER-91-0002,January 15,1991.
[3]Berman A,Nagy E Y.Impovement of a Large Analyticalmodel using test data[J].AIAAJ,1983,21:1168—1173
[4]Lang,George Fox.Demystifying Complex Modes[J].Soundand Vibration,January 1989,36—40.
[5]Liang Z,Lee G C.Representation of damping matrix[J].Engineering Mechanics.ASCE,1991,117(5).
[6]高淑华,赵阳,李淑娟,唐国安.粘弹性结构动力学分析的等效粘性阻尼算法[J].振动与冲击,2005,24(1):18—27.
[7]王建有,陈键云,林皋.非比例阻尼结构参数识别算法的研究[J].振动与冲击.2005,24(1):1—3.
[8]Buhariwala K J,Hansen J S.Construction of a consistentdamping Matrix[J].Earthquake Eng.Struct.Dyn.1988,16:931—942.
[9]胡海岩.结构阻尼模型及系统时域响应[J].建筑结构学报,1992,5(1),43—46.
[10]董军,邓洪洲.结构动力分析阻尼模型研究[J].世界地震工程,2000,16(4):63—69.
[2]Tong M,Liang Z,Lee G C.Physical Space Solutions of Non-Proportionally Damped Systems,NCEER technical reportNCEER-91-0002,January 15,1991.
[3]Berman A,Nagy E Y.Impovement of a Large Analyticalmodel using test data[J].AIAAJ,1983,21:1168—1173
[4]Lang,George Fox.Demystifying Complex Modes[J].Soundand Vibration,January 1989,36—40.
[5]Liang Z,Lee G C.Representation of damping matrix[J].Engineering Mechanics.ASCE,1991,117(5).
[6]高淑华,赵阳,李淑娟,唐国安.粘弹性结构动力学分析的等效粘性阻尼算法[J].振动与冲击,2005,24(1):18—27.
[7]王建有,陈键云,林皋.非比例阻尼结构参数识别算法的研究[J].振动与冲击.2005,24(1):1—3.
[8]Buhariwala K J,Hansen J S.Construction of a consistentdamping Matrix[J].Earthquake Eng.Struct.Dyn.1988,16:931—942.
[9]胡海岩.结构阻尼模型及系统时域响应[J].建筑结构学报,1992,5(1),43—46.
[10]董军,邓洪洲.结构动力分析阻尼模型研究[J].世界地震工程,2000,16(4):63—69.
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