单帽型薄壁梁弯曲和轴向压溃吸能的理论预测方法研究
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摘要
以Kecman薄壁梁弯曲压溃理论和Wierzbicki超折叠单元理论为基础,建立一种改进的单帽型薄壁梁准静态弯曲压溃和轴向压溃理论模型,并推导相应的吸能公式。该模型适用于求解同材同厚、同材异厚、异材同厚和异材异厚的单帽型薄壁梁弯曲压溃和轴向压溃吸能。试验和数值仿真结果表明:与传统理论和模型相比,改进理论模型对于预测单帽型薄壁梁的弯曲压溃和轴向压溃吸能具有较高的精度,在应用范围方面更具有通用性。
Based on Kecman's bending collapse theory on thin-walled beams and Wierzbicki's superfolding element theory,an improved theoretical model for quasi-static bending collapse and axial collapse of thin-walled beams with closed-hat section is proposed,with corresponding energy absorption formulae derived.The model can solve the energy absorption problems of bending collapse and axial collapse of thin-walled beams with same material and thickness,same material and different thickness,different material and same thickness,and different material and thickness.The results of test and numerical simulation show that compared with traditional theories and models,the improved theoretical model has higher accuracy in predicting the energy absorption in bending collapse and axial collapse,with better universality in application scope.
Based on Kecman's bending collapse theory on thin-walled beams and Wierzbicki's superfolding element theory,an improved theoretical model for quasi-static bending collapse and axial collapse of thin-walled beams with closed-hat section is proposed,with corresponding energy absorption formulae derived.The model can solve the energy absorption problems of bending collapse and axial collapse of thin-walled beams with same material and thickness,same material and different thickness,different material and same thickness,and different material and thickness.The results of test and numerical simulation show that compared with traditional theories and models,the improved theoretical model has higher accuracy in predicting the energy absorption in bending collapse and axial collapse,with better universality in application scope.
引文
[1]胡海涛.帽型薄壁梁抗弯性能研究及多目标优化[D].大连:大连理工大学,2015.
[2]ALEXANDER J M.An approximate the collapse of thin cylindrical shells under axial loading[J].Quarterly Journal of Mechanics&Applied Mathematics,1960,13(1):10-15.
[3]WIERZBICKI T,ABRAMOWICZ W.On the crushing mechanics of thin-walled structures[J].Journal of Applied Mechanics,1983,50(4):727-734.
[4]WHITE M D,JONES N,ABRAMOWICZ W.Theoretical analysis for the quasi-static axial crushing of top-hat and double-hat thinwalled sections[J].International Journal of Mechanicl Science,1999,41(2):209-233.
[5]KECMAN D.Bending collapse of rectangular and square section tubes[J].International Journal of Mechanical Sciences,1983,25(9):623-636.
[6]高元明.单帽型与双帽型薄壁梁塑性变形特性的简化方法研究[D].长春:吉林大学,2011.
[7]李亦文.车身结构抗撞性问题的简化建模及优化方法研究[D].长春:吉林大学,2011.
[8]ABRAMOWICZ W.Thin-walled structures as impact energy absorbers[J].Thin-Walled Structures,2003,41(2-3):91-107.
[9]LIU Y C,DAY M L.Bending collapse of thin-walled beams with channel cross-section[J].International Journal of Crashworthiness,2006,11(3):251-262.
[10]LIU Y,DAY M L.Bending collapse of thin-walled circular tubes and computational application[J].Steel Construction,2008,46(4):442-450.
[11]LIU Y C,DAY M L.Concept modeling of tapered thin-walled tubes[J].Journal of Zhejiang University-SCIENCE A,2009,10(1):44-53.
[12]CHEN W,WIERZBICKI T.Relative merits of single-cell,multicell and form-filled thin-walled structures in energy absorption[J].Thin-Walled Structures,2001,39(4):287-306.
[13]HALLQUIST J O.LS-DYNA keyword user's manual volume II material models[M].LSTC Inc,2012:132-137.
[2]ALEXANDER J M.An approximate the collapse of thin cylindrical shells under axial loading[J].Quarterly Journal of Mechanics&Applied Mathematics,1960,13(1):10-15.
[3]WIERZBICKI T,ABRAMOWICZ W.On the crushing mechanics of thin-walled structures[J].Journal of Applied Mechanics,1983,50(4):727-734.
[4]WHITE M D,JONES N,ABRAMOWICZ W.Theoretical analysis for the quasi-static axial crushing of top-hat and double-hat thinwalled sections[J].International Journal of Mechanicl Science,1999,41(2):209-233.
[5]KECMAN D.Bending collapse of rectangular and square section tubes[J].International Journal of Mechanical Sciences,1983,25(9):623-636.
[6]高元明.单帽型与双帽型薄壁梁塑性变形特性的简化方法研究[D].长春:吉林大学,2011.
[7]李亦文.车身结构抗撞性问题的简化建模及优化方法研究[D].长春:吉林大学,2011.
[8]ABRAMOWICZ W.Thin-walled structures as impact energy absorbers[J].Thin-Walled Structures,2003,41(2-3):91-107.
[9]LIU Y C,DAY M L.Bending collapse of thin-walled beams with channel cross-section[J].International Journal of Crashworthiness,2006,11(3):251-262.
[10]LIU Y,DAY M L.Bending collapse of thin-walled circular tubes and computational application[J].Steel Construction,2008,46(4):442-450.
[11]LIU Y C,DAY M L.Concept modeling of tapered thin-walled tubes[J].Journal of Zhejiang University-SCIENCE A,2009,10(1):44-53.
[12]CHEN W,WIERZBICKI T.Relative merits of single-cell,multicell and form-filled thin-walled structures in energy absorption[J].Thin-Walled Structures,2001,39(4):287-306.
[13]HALLQUIST J O.LS-DYNA keyword user's manual volume II material models[M].LSTC Inc,2012:132-137.