基金项目：国家自然基金资助项目(50074002)
作者简介：杜青(1961),男,河北人,教授,博士,主要从事工程结构数值计算研究(E-mail: hebutdq@sina.com);
作者简介：蔡美峰(1943),男,江苏人,教授,博士,博导,院长,主要从事工程力学研究;
作者简介：李晓会(1963),女,河北人,副教授,从事应用力学研究.
作者单位：杜青（河北工业大学土木工程学院,天津,300132）
蔡美峰（北京科技大学土木与环境工程学院,北京,100083）
李晓会（河北工业大学理学院,天津,300130）
参考文献：
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