板-复合地基动力分析半解析元法
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摘要
将复合地基视为横观各向同性材料,利用半解析数值方法的基本原理分析板-复合地基动力相互作用问题,克服有限元法中人为设定计算边界的弊端,提高了计算精度,并将三维问题转化为一维问题计算,显著减少了计算工作量。通过改变复合地基置换率、加固深度和桩土模量比,研究了板-复合地基体系动力特性的变化规律。计算结果表明,增大加固深度、置换率和桩土模量比对系统频率和振幅均有影响,并使频率有一定的提高,动力基础设计时,应注意复合地基置入对基础动力特性改变的影响。
Composite ground can be regarded as transversely isotropic material.Semi-analytical element method is used to study the dynamic interaction of slab and composite foundation.It can avoid introducing redundant boundary condition compared with FEM,and improve computation accuracy.Furthermore it can simplify 3-dimensional computation to one dimension,saving computation time dramatically for its quick convergence.The dynamic property of slab and composite ground is investigated by means of changing substitution ratio,reinforced depth and modulus ratio of pile to soil.The results indicate that the increment of these factors can affect the amplitude of vibration and increase the system's frequency.So when designing the foundation of power machine,some attention should be paid to the impaction of composite ground on the alteration of dynamic property of ground.
Composite ground can be regarded as transversely isotropic material.Semi-analytical element method is used to study the dynamic interaction of slab and composite foundation.It can avoid introducing redundant boundary condition compared with FEM,and improve computation accuracy.Furthermore it can simplify 3-dimensional computation to one dimension,saving computation time dramatically for its quick convergence.The dynamic property of slab and composite ground is investigated by means of changing substitution ratio,reinforced depth and modulus ratio of pile to soil.The results indicate that the increment of these factors can affect the amplitude of vibration and increase the system's frequency.So when designing the foundation of power machine,some attention should be paid to the impaction of composite ground on the alteration of dynamic property of ground.
引文
[1]龚晓南.复合地基理论及工程应用[M].北京:中国建筑工业出版社,2002.
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[3]王立忠,柯瀚,陈云敏,等.地震荷载作用下水泥搅拌桩的动力响应[J].振动工程学报,1998,11(4):416-423.WANG Li-zhong,KE Han,CHEN Yun-min,et al.Seismic response of composite foundation with CDM piles[J].Journal of Vibration Engineering,1998,11(4):416-423.
[4]刘丽萍,黄义,李向阳.复合地基沉降影响因素的半解析元分析[J].西安建筑科技大学学报(自然科学版).2005,37(2):63-68.LIU Li-ping,HUANG Yi,LI Xiang-yang.Study on the influencing factors of composite foundation settlement by semi-analytical element method[J].Journal of Xi'an University of Architecture&Technology,2005,37(2):63-68.
[5]曹志远,张佑启.半解析数值方法[M].国防工业出版社,1992.
[6]郑刚,姜忻良.复合地基上圆形基础板样条有限元-无限元耦合分析[J].岩土工程学报,1997,19(5):80-83.ZHENG Gang,JIANG Xin-liang.The coupling method of spline finite element-infinite element for the circular plate on composite foundation[J].Chinese Journal of Geotechnical Engineering,1997,19(5):80-83.
[7]姬亦工,王复明,栾茂田.层状粘弹性地基动力响应的样条半解析法[J].岩土工程学报,2002,24(1):34-37.JI Yi-gong,WANG Fu-ming,LUAN Mao-tian.A simplified method for vibration analysis of layered visco-elastic foundation[J].Chinese Journal of Geotechnical Engineering,2002,24(1):34-37.
[8]施玉群,段克让,彭华.高层建筑—地基动力相互作用半解析法的研究[J].工程力学,1997,14(3):124-131.SHI Yu-qun,DUAN Ke-rang,PENG Hua.Research on the semi-analytical element method of soil-tall bullding structure1’s dynamic interaxtion[J].Engineering Mchanics,1997,14(3):124-131.
[9]李永强,郭星辉,刘杰.求解旋转板、壳振动问题的半解析有限元分析[J].东北大学学报(自然科学版),2002,23(6):585-588.LI Yong-qiang,GUO Xing-hui,LI Jie.Semi-analysis finite elements method for the vibrations of revolve plates and shells[J].Journal of Northeastern University(Natural Science),2002,23(6):585-588.
[10]方从启,孙钧.浅层顶管施工引起的土体移动[J].岩土力学,2000,21(1):36-42.FANG Cong-qi,SUN Ju.Ground movements induced by pipe jacking in shallow underground soils[J].Rock and Soil Mechanics,2000,21(1):36-42.
[2]徐自国,宋二祥.刚性桩复合地基抗震性能的有限元分析[J].岩土力学,2004,25(2):179-184.XU Zi-guo,SONG Er-xiang.Finite element analysis for seismic response of rigid pile composite foundations[J].Rock and Soil Mechanics,2004,25(2):179-184.
[3]王立忠,柯瀚,陈云敏,等.地震荷载作用下水泥搅拌桩的动力响应[J].振动工程学报,1998,11(4):416-423.WANG Li-zhong,KE Han,CHEN Yun-min,et al.Seismic response of composite foundation with CDM piles[J].Journal of Vibration Engineering,1998,11(4):416-423.
[4]刘丽萍,黄义,李向阳.复合地基沉降影响因素的半解析元分析[J].西安建筑科技大学学报(自然科学版).2005,37(2):63-68.LIU Li-ping,HUANG Yi,LI Xiang-yang.Study on the influencing factors of composite foundation settlement by semi-analytical element method[J].Journal of Xi'an University of Architecture&Technology,2005,37(2):63-68.
[5]曹志远,张佑启.半解析数值方法[M].国防工业出版社,1992.
[6]郑刚,姜忻良.复合地基上圆形基础板样条有限元-无限元耦合分析[J].岩土工程学报,1997,19(5):80-83.ZHENG Gang,JIANG Xin-liang.The coupling method of spline finite element-infinite element for the circular plate on composite foundation[J].Chinese Journal of Geotechnical Engineering,1997,19(5):80-83.
[7]姬亦工,王复明,栾茂田.层状粘弹性地基动力响应的样条半解析法[J].岩土工程学报,2002,24(1):34-37.JI Yi-gong,WANG Fu-ming,LUAN Mao-tian.A simplified method for vibration analysis of layered visco-elastic foundation[J].Chinese Journal of Geotechnical Engineering,2002,24(1):34-37.
[8]施玉群,段克让,彭华.高层建筑—地基动力相互作用半解析法的研究[J].工程力学,1997,14(3):124-131.SHI Yu-qun,DUAN Ke-rang,PENG Hua.Research on the semi-analytical element method of soil-tall bullding structure1’s dynamic interaxtion[J].Engineering Mchanics,1997,14(3):124-131.
[9]李永强,郭星辉,刘杰.求解旋转板、壳振动问题的半解析有限元分析[J].东北大学学报(自然科学版),2002,23(6):585-588.LI Yong-qiang,GUO Xing-hui,LI Jie.Semi-analysis finite elements method for the vibrations of revolve plates and shells[J].Journal of Northeastern University(Natural Science),2002,23(6):585-588.
[10]方从启,孙钧.浅层顶管施工引起的土体移动[J].岩土力学,2000,21(1):36-42.FANG Cong-qi,SUN Ju.Ground movements induced by pipe jacking in shallow underground soils[J].Rock and Soil Mechanics,2000,21(1):36-42.
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