形状记忆合金材料相变伪弹性有限元分析
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摘要
形状记忆合金(SMA)的相变伪弹性是其智能功能的体现之一,对它的分析研究,有利于把SMA材料应用于土木工程并实现其指定的功能。针对形状记忆合金的Brinson本构模型中的相变伪弹性的热力学方程和求解特点,提出了一种新的求解方法,先将热力学方程变化为差分形式,然后采用对分法对相互嵌套的热力学方程和控制方程进行求解,最后利用MATLAB软件编制了SMA材料相变伪弹性恢复力本构关系的有限元分析程序,得出了能够反映其本构特征的相变伪弹性恢复力曲线。
The phrase transformation pseudo-elasticity is one of intelligence functions of shape memory alloy (SMA). Research concerning it can help us take the advantages of the special function of SMA in civil engineering. Based on phrase transformation pseudo-elasticity's thermo-mechanical equation and solution character included in Brinson's stress and strain model, a new method for solving the equation has been developed by following steps: first, turn thermo-mechanical equation into difference form; then, solve thermo-mechanical equation and control equation which nest each other through bisection; finally, get the resilience grasp about the transformation pseudo elasticity through finite element analysis program made by the MATLAB software which reflect SMA transformation pseudo-elasticity resilience model.
The phrase transformation pseudo-elasticity is one of intelligence functions of shape memory alloy (SMA). Research concerning it can help us take the advantages of the special function of SMA in civil engineering. Based on phrase transformation pseudo-elasticity's thermo-mechanical equation and solution character included in Brinson's stress and strain model, a new method for solving the equation has been developed by following steps: first, turn thermo-mechanical equation into difference form; then, solve thermo-mechanical equation and control equation which nest each other through bisection; finally, get the resilience grasp about the transformation pseudo elasticity through finite element analysis program made by the MATLAB software which reflect SMA transformation pseudo-elasticity resilience model.
引文
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[2]Hanson Robert D,Soong T.Seismic design with supplemental energy dissipation devices[J].Earthquake Engineering Research Institute,2001,MNO-8:65~68.
[3]Krzysztof Wilde,Paolo Gardoni,Yozo Fujino.Base isolation with shape memory alloy device for elevated highway bridges[J].Engineering Structure,2000,22(3):222~229.
[4]Mauro D,Donatello C,Roberto M.Implementation and testing of passive control devices based on shape memory alloys[J].Earthquake Engineering and Structural Dynamics,2000,29(1):945~968.
[5]Mauro Dolce.Donatello Cardone.Mechanical behavior of shape memory alloys for seismic application,Austenite NiTi wires subjected to tension[J].International Journal of Mechanical Sciences,2001,43(1):2657~2677.
[6]王社良.形状记忆合金在结构控制中的应用[M].西安:陕西科学技术出版社,2000.Wang Sheliang.Application of shape memory alloy in structures control[M].Xi’an:Shaanxi Science and Technology Press,2000.(in Chinese)
[7]吴波,孙科学,李惠,唐卫胜.形状记忆合金力学性能的试验研究[J].地震工程与工程振动,1999,19(2):102~104.Wu Bo,Sun Kexue,Li Hui,Tang Weisheng.Experimental research on mechanical properties of shape memory alloy[J].Earthquake Engineering and Engineering Vibration,1999,19(2):102~104.(in Chinese)
[8]Fur L S,Henry Yang T Y,Ankireddi S.Vibration control of tall buildings under seismic and wind loads[J].Journalof Engineering Mechanics,1996,122(8):948~957.
[9]Brown A S,Ankireddi S,Henry Yang T Y.Actuator and sensor placement for multi-objective control[J].Journal of Engineering Mechanics,1999,125(7):757~765.
[10]杨泮池,崔荣泉,曲小钢.计算方法[M].西安:陕西科学技术出版社,1996.Yang Panchi,Cui Rongquan,Qu Xiaogang.Computational Methods[M].Xi’an:Shaanxi Science and Technology Press,1996.(in Chinese)
[11]张志涌.精通MATLAB6.5版[M].北京:北京航空航天大学出版社,2003.Zhang Zhiyong.Mastering MATLAB6.5[M].Beijing:Beijing Aeronautics and Astronautics University Press,2003.(in Chinese)
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