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《Earthquake Engineering and Engineering Vibration》 2003-05
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A new approach for solution of local artificial transmitting boundary

ZHANG Xiaozhi1,2,XIE Lili1,3,QU Chengzhong1(1.Institute of Engineering Mechanics, China Seismological Bureau,Harbin 150080,China; 2.Fenghua Space Technology Stock Company of Harbin,Harbin 150040,China; 3.Harbin Institute of Technology, Harbin 150001, China)   
Based on the conception of wave motion, a mathematical approach for displacement solution at the nodes on the artificial transmitting boundary is developed by taking advantages of polynomial extrapolation and its geometric explanation. The precision of the solution is analyzed. It is concluded that the necessary and sufficient condition for assuring the accuracy of the displacement solution at the artificial transmitting boundary comparable to that of the finite element result are equations (38) and (39) for integer N approaching to infinite and N=2 respectively. Furthermore, a new conception of the single accurate transmitting for plane wave motion is presented. With this conception an optimization of the solution can be derived and its precision and stability are remarkably improved.
【Fund】: 国家自然科学基金项目(59895410);; 黑龙江省自然科学基金项目(E0221)
【CateGory Index】: P631.42
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