连续体简谐基础振动有限元计算方法
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摘要
针对简谐基础激励下,连续体响应数值计算存在刚体位移、约束方式和载荷施加方式等限制,基于基础振动和有限元实现原理,提出了一种求解简谐基础振动响应的方法——静力等效载荷法。根据连续体等效载荷形式,将简谐基础振动问题转化为固定基础的载荷简谐振动;并结合通用有限元软件和自编数据处理程序,实现了响应特性的数值计算。计算和理论结果表明,该方法实现简单、结果准确,能有效地求解无阻尼和弱阻尼连续体简谐基础振动问题。
Due to some restrictions to the numerical simulation of continua vibrations from the base,including rigid-body motion,constrains,loading mode and so on.An approach named the static inertia method is presented based on the principle of harmonic base vibration and FEM.This approach transforms the original problem into an ordinary harmonic vibration with fixed base according to the equivalent form of base load.The response is numerically simulated by combining the general FEM software with self-developed data processing software.Both the theoretical and numerical results show that the static inertia method is of effectiveness,simple implement and accurate.
Due to some restrictions to the numerical simulation of continua vibrations from the base,including rigid-body motion,constrains,loading mode and so on.An approach named the static inertia method is presented based on the principle of harmonic base vibration and FEM.This approach transforms the original problem into an ordinary harmonic vibration with fixed base according to the equivalent form of base load.The response is numerically simulated by combining the general FEM software with self-developed data processing software.Both the theoretical and numerical results show that the static inertia method is of effectiveness,simple implement and accurate.
引文
[1]任建峰,仇原鹰,段宝岩,等.一种基础加速度冲击的仿真新方法[J].现代机械,2006,2:21-23.REN Jian-feng,QIU Yuan-ying,DUAN Bao-yan,et al.Anew idea to access the simulation of a shock from thebase[J].Modern Mechanic Machine,2006,2:21-23.
[2]HAN Wei,HU Hai-yan,JIN Dong-ping.Vibrao-impacts of aslender cantilever beam with a lumped tip mass between tworigid stops[J].Transactions of Nanjing University ofAeronautics&Astronautics,2001,18(2):137-143.
[3]宋宇,王本利,马兴瑞.伸展柔性附件对简谐激励的响应分析[J].航空学报,1999,20(1):8-10.SONG Yu,WANG Ben-li,MA Xing-rui.Dynamic responseof flexible appendages to the harmonic excitation duringextension[J].Acta Aeronautica ET Astronautica Sinica,1999,20(1):8-10.
[4]COLLIER C J,ELNASHAI A S.A procedure for combiningvertical and horizontal seismic action effects[J].Journal ofEarthquake Engineering,2001,5(4):521-539.
[5]徐平,夏唐代.P1波入射角对建筑基础振动的影响[J].振动与冲击,2006,25(5):58-61.XU Ping,XIA Tang-dai.Influence of incident angle of P1wave on vibration of building foundation[J].Journal ofVibration and Shock,2006,25(5):58-61.
[6]董政,蔡爽,徐利梅,等.二自由度两弹簧系统振动实验设计与分析[J].电子科技大学学报,2006,35(4):550-553.DONG Zheng,CAI Shuang,XU Li-mei,et al.Design andanalysis of a two-spring-two-freedom vibration system[J].Journal of University of Electronic Science and Technologyof China,2006,35(4):550-553.
[7]邵长江,钱永久.Koyna混凝土重力坝的塑性地震损伤响应分析.振动与冲击,2006,25(4):129-131.SHAO Chang-jiang,QIAN Yong-jiu.Seismic plasticdamage response analysis of Koyna concrete gravity dam[J].Journal of Vibration and Shock,2006,25(4):129-131.
[8]KIM C H,LEE C H,GOO J S.A dynamic response analysisof tension leg platforms including hydrodynamic interactionin regular waves[J].Ocean Engineering,2007,34:1680-1689.
[9]ANYANWU E E,OGUEKE N V.Transient analysis andperformance prediction of a solid adsorption solarrefrigerator[J].Applied Thermal Engineering,2007,27:2514-2523.
[10]LEE W M,CHEN J T,LEE Y T.Free vibration analysis ofcircular plates with multiple circular holes using indirectBIEMs[J].Journal of Sound and Vibration,2007,304:811-830.
[2]HAN Wei,HU Hai-yan,JIN Dong-ping.Vibrao-impacts of aslender cantilever beam with a lumped tip mass between tworigid stops[J].Transactions of Nanjing University ofAeronautics&Astronautics,2001,18(2):137-143.
[3]宋宇,王本利,马兴瑞.伸展柔性附件对简谐激励的响应分析[J].航空学报,1999,20(1):8-10.SONG Yu,WANG Ben-li,MA Xing-rui.Dynamic responseof flexible appendages to the harmonic excitation duringextension[J].Acta Aeronautica ET Astronautica Sinica,1999,20(1):8-10.
[4]COLLIER C J,ELNASHAI A S.A procedure for combiningvertical and horizontal seismic action effects[J].Journal ofEarthquake Engineering,2001,5(4):521-539.
[5]徐平,夏唐代.P1波入射角对建筑基础振动的影响[J].振动与冲击,2006,25(5):58-61.XU Ping,XIA Tang-dai.Influence of incident angle of P1wave on vibration of building foundation[J].Journal ofVibration and Shock,2006,25(5):58-61.
[6]董政,蔡爽,徐利梅,等.二自由度两弹簧系统振动实验设计与分析[J].电子科技大学学报,2006,35(4):550-553.DONG Zheng,CAI Shuang,XU Li-mei,et al.Design andanalysis of a two-spring-two-freedom vibration system[J].Journal of University of Electronic Science and Technologyof China,2006,35(4):550-553.
[7]邵长江,钱永久.Koyna混凝土重力坝的塑性地震损伤响应分析.振动与冲击,2006,25(4):129-131.SHAO Chang-jiang,QIAN Yong-jiu.Seismic plasticdamage response analysis of Koyna concrete gravity dam[J].Journal of Vibration and Shock,2006,25(4):129-131.
[8]KIM C H,LEE C H,GOO J S.A dynamic response analysisof tension leg platforms including hydrodynamic interactionin regular waves[J].Ocean Engineering,2007,34:1680-1689.
[9]ANYANWU E E,OGUEKE N V.Transient analysis andperformance prediction of a solid adsorption solarrefrigerator[J].Applied Thermal Engineering,2007,27:2514-2523.
[10]LEE W M,CHEN J T,LEE Y T.Free vibration analysis ofcircular plates with multiple circular holes using indirectBIEMs[J].Journal of Sound and Vibration,2007,304:811-830.
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