桥梁桩基础有限元模型构建思路与应用
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摘要
为了实现利用通用有限元程序建立桩基础有限元模型进行内力计算的目的,本文以桥梁基础规范的计算理论为指导,介绍了桩基础模型构建的思路。首先根据弹性地基梁理论,提出了用梁单元模拟基桩,把土对基桩的作用用一系列水平土弹簧和两个竖向土弹簧来模拟,并推导了土弹簧刚度的计算公式及公式中有关参数的取值方法。提出多排桩承台与桩顶连接方式的模拟,一定要能正确反应承台底面中心和桩顶的变位关系式。最后,通过一个双排桩实例来介绍这种建模方法的应用,并将模型计算结果与手算结果进行比较,发现两者误差较小,范围不超过1%,从而验证了桩基础的有限元模型构建思路是正确的。
In order to establish the model of bridge′s piles foundation by general finite element software,by which the value of bending moment and transverse displacement can get,based on the calculation theory in Chinese code for piles foundation,the conception about how to establish the finite element model of pile foundation is given.Firstly,every pile in foundation is simulated as a beam according to the theory of elastic foundation beam,and the effect of ground to the pile is treated as a series of lateral springs and two vertical springs.The formulas for spring stiffness are derived and raletively how to consider parameters is showed.Secondly,in the finite element model,the simulation for the link between pile′s cap and pile must reflect their relationship correctly.Finally,using an example to introduce the conception for finite element model of piles foundation.Compared the results from the model by software with manual calculation,the errors are all under 1%,which proves that the conception for finite element model is reasonable.
In order to establish the model of bridge′s piles foundation by general finite element software,by which the value of bending moment and transverse displacement can get,based on the calculation theory in Chinese code for piles foundation,the conception about how to establish the finite element model of pile foundation is given.Firstly,every pile in foundation is simulated as a beam according to the theory of elastic foundation beam,and the effect of ground to the pile is treated as a series of lateral springs and two vertical springs.The formulas for spring stiffness are derived and raletively how to consider parameters is showed.Secondly,in the finite element model,the simulation for the link between pile′s cap and pile must reflect their relationship correctly.Finally,using an example to introduce the conception for finite element model of piles foundation.Compared the results from the model by software with manual calculation,the errors are all under 1%,which proves that the conception for finite element model is reasonable.
引文
[1]李海林,梁立孚.桩-土相互作用的数值分析模拟[D].哈尔滨:哈尔滨工程大学,2006
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[6]王满生,周锡元,胡聿贤.桩土动力分析中接触模型的研究[J].岩土工程学报,2005,27(6):616-620
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[2]李瑜.桩-土相互作用体系的有限元初探[D].南京:河海大学,2004
[3]娄奕红,刘喜元.桩土相互作用的有限元-无界元分析[J].城市道桥与防洪,2004,(2):33-36
[4]赵琦,刘增荣,蔡东艳.用Penzien模型研究地震时桩土相互作用[J].山西建筑,2007,33(15):1-2
[5]孙利民,刘东,潘龙等.桩-土相互作用集中质量模型的土弹簧刚度计算方法[C].中国土木工程学会桥梁及结构分会第14届年会论文,2000
[6]王满生,周锡元,胡聿贤.桩土动力分析中接触模型的研究[J].岩土工程学报,2005,27(6):616-620
[7]中华人民共和国行业标准.公路桥涵地基与基础设计规范(JTG D63-2007)[S].北京:人民交通出版社,2007
[8]盛洪飞.桥梁墩台与基础工程[M].哈尔滨:哈尔滨工业大学出版社,2005
[9]中华人民共和国行业标准.公路钢筋混凝土及预应力混凝土壳还设计规范(JTG D62-2004)[S].北京:人民交通出版社,2004
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