受扭构件稳定性的突变理论研究
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摘要
基于混凝土受扭构件破坏时相邻构件的作用,建立受扭构件破坏的力学模型。运用突变理论对受扭构件的稳定性进行分析,揭示了混凝土受扭构件破坏过程,并给出了受扭构件失稳的临界条件。研究表明:混凝土受扭构件失稳的临界条件是由加载系统刚度与受扭构件本构曲线的软化段斜率绝对值的比值K确定,K<1时,受扭构件将发生脆性破坏。对于少筋和超筋构件脆性破坏机理是由于其本构曲线峰值强度后软化段部分斜率较陡,加载系统释放的弹性能超过构件所能耗散的能量所造成的。
Based on the interaction of contact element in failure of concrete torsion member,mechanical model for the torsion member failure was established.Catastrophe theory was used to analyze the stability of torsion member failure.Failure process of concrete torsion member was revealed and a critical condition where the concrete torsion member was damaged brittlely.The result shows that:The critical condition is given by the ratio,K,of loading system stiffness to(the absolute value of) softening slope of torsion member constitutive curve,torsion member damage brittlely when K<1.The mechanism of torsion member brittle damage to few or more steel is due to that the constitutive curve after peak value intensity is steeper and the elastic energy released by loading system is more than the energy dissipated by torsion moment accordingly.
Based on the interaction of contact element in failure of concrete torsion member,mechanical model for the torsion member failure was established.Catastrophe theory was used to analyze the stability of torsion member failure.Failure process of concrete torsion member was revealed and a critical condition where the concrete torsion member was damaged brittlely.The result shows that:The critical condition is given by the ratio,K,of loading system stiffness to(the absolute value of) softening slope of torsion member constitutive curve,torsion member damage brittlely when K<1.The mechanism of torsion member brittle damage to few or more steel is due to that the constitutive curve after peak value intensity is steeper and the elastic energy released by loading system is more than the energy dissipated by torsion moment accordingly.
引文
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[2]闫肖武,刘继明.薄膜元理论在受扭构件强度和变形计算中的应用[J].工程抗震与加固改造,2007,29(2):33-36.
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[4]王春武.预应力混凝土边梁协调扭转的分析[J].工业建筑,2007,37(10):42-45.
[5]彭晓宁,黄玉龙,吴波.钢筋混凝土剪力墙扭转行为的试验研究[J].华南地震,2008,38(2):125-134.
[6]潘岳,王志强,张勇.突变理论在岩体系统动力失稳中的应用[M].北京:科学出版社,2008.
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