金属板复合材料单面胶接补强结构的状态空间法
|
摘要
针对金属板复合材料单面补强的结构特点,从弹性力学基本方程出发,利用状态空间法建立了单面补强结构的力学分析模型,同时利用有限元方法对结构进行了分析。通过对结构挠度、胶层剪切应力及剥离应力计算结果的对比表明,解析解与有限元解吻合较好,解析模型合理。最后利用所建立的状态解析模型研究了补强结构中复合材料补片层间剪切应力及各分层面内应力的分布规律,并简要分析了补片的失效机制。
A newanalytical model involving geometric nonlinearity and boundary conditions is developed to analyze the stress and strain distribution of metallic plates reinforced with one-side composite patches using state space method(SSM). Meanwhile,in order to validate the analytical method,the finite element model is established. The results showthat the analytical solutions correlate very well with the finite element method(FEM). Finally,by using the analytical model,the interlaminar stress and in-plane stress distributions through the thickness of the patch are calculated,and the failure type of the composite patch is analyzed briefly.
A newanalytical model involving geometric nonlinearity and boundary conditions is developed to analyze the stress and strain distribution of metallic plates reinforced with one-side composite patches using state space method(SSM). Meanwhile,in order to validate the analytical method,the finite element model is established. The results showthat the analytical solutions correlate very well with the finite element method(FEM). Finally,by using the analytical model,the interlaminar stress and in-plane stress distributions through the thickness of the patch are calculated,and the failure type of the composite patch is analyzed briefly.
引文
[1]MOUSSA A,MUSTAPHA K,LAURENT L,et al.Effective thermal conductivity of random tw o-phase composites[J].J Reinf Plast Compos,2014,33(1):69-80.
[2]苏维国,穆志韬,朱做涛,等.金属裂纹板复合材料单面胶接修补结构应力分析[J].复合材料学报,2014,31(3):772-780.
[3]苏维国,穆志韬,王朔.金属裂纹板复合材料胶接修补结构裂纹扩展行为研究[J].沈阳航空航天大学学报,2014,31(1):37-40.
[4]WU Y F,HUANG Y.Hybrid bonding of FRP to reinforced concrete structures[J].J Compos Construct,2008,12(3):266-273.
[5]YANG J,WU Y F.Interfacial stresses of FRP strengthened concrete beams:effect of shear deformation[J].Compos Struct,2007,80(3):343-351.
[6]YUN Y C,WU YF,TANG W C.Performance of FRP bonding systems under fatigue loading[J].Eng Struct,2008,30(11):3129-3140.
[7]SMITH S T,TENG J G.Interfacial stresses in plated beams[J].Eng Struct,2001,23(7):857-871.
[8]MALEK A M,SAADATMANESH H,EHSANI M R.Prediction of failure load of R/C beams strengthened w ith FRP plate due to stress concentration at the plate end[J].ACI Struct J,1998,95(1):142-52.
[9]TALJSTEN B.Strengthening of beams by plate bonding[J].J M ater Civil Eng,1997,9(4):206-212.
[10]ROBERTS T M.Shear and normal stresses in adhesive joints[J].J Eng M ech,1989,115(11):2460-2479.
[11]VILNAY O.The analysis of reinforced concrete beams strengthened by epoxy bonded steel plates[J].Int J Cem Compos Lightw eight Concr,1988,10(2):73-78.
[12]RONGQIAO XU,YUFEI WU.Analytical study of beams strengthened by adhesively bonded reinforcement w ith variable properties using state space method[J].Compos.Sci.Technol,2009,69(11):1912-1918.
[13]郝建滨,穆志韬,李旭东.基于TOM理论的金属裂纹板复合材料胶接修补胶层应力分析[J].玻璃钢/复合材料,2014(10):27-31.
[14]赵培仲,胡芳友,黄旭仁,等.复合材料粘接修理结构中胶层的应力分布[J].玻璃钢/复合材料,2012(4):65-69.
[15]关志东,YANG CHIHDAR.复合材料管接头拉扭作用下胶层应力分析[J].复合材料学报,2004,21(3):96-101.
[16]HART-SMITH L J.Adhesive-bonded single-lap joints,NASA/CR-1973-112236[R].Washington,D.C,NASA,1973.
[17]赵波.考虑弯曲效应的混元胶接单搭接头应力模型[J].机械工程学报,2008,44(10):129-137.
[18]盛宏玉.叠层板自由边应力分析的状态空间法[J].合肥工业大学学报(自然科学版),2005,28(9):1182-1187.
[19]范家让.强厚度叠层板壳的精确理论[M].北京:科学出版社,1998.
[20]李春良.预应力CFRP加固钢筋砼梁复合结构力学行为分析[D].长春:吉林大学,2008.
[21]边祖光.功能梯度材料板壳结构的耦合问题研究[D].杭州:浙江大学,2005.
[22]吕朝锋.基于状态空间架构的微分求积法及其应用[D].杭州:浙江大学,2006.
[2]苏维国,穆志韬,朱做涛,等.金属裂纹板复合材料单面胶接修补结构应力分析[J].复合材料学报,2014,31(3):772-780.
[3]苏维国,穆志韬,王朔.金属裂纹板复合材料胶接修补结构裂纹扩展行为研究[J].沈阳航空航天大学学报,2014,31(1):37-40.
[4]WU Y F,HUANG Y.Hybrid bonding of FRP to reinforced concrete structures[J].J Compos Construct,2008,12(3):266-273.
[5]YANG J,WU Y F.Interfacial stresses of FRP strengthened concrete beams:effect of shear deformation[J].Compos Struct,2007,80(3):343-351.
[6]YUN Y C,WU YF,TANG W C.Performance of FRP bonding systems under fatigue loading[J].Eng Struct,2008,30(11):3129-3140.
[7]SMITH S T,TENG J G.Interfacial stresses in plated beams[J].Eng Struct,2001,23(7):857-871.
[8]MALEK A M,SAADATMANESH H,EHSANI M R.Prediction of failure load of R/C beams strengthened w ith FRP plate due to stress concentration at the plate end[J].ACI Struct J,1998,95(1):142-52.
[9]TALJSTEN B.Strengthening of beams by plate bonding[J].J M ater Civil Eng,1997,9(4):206-212.
[10]ROBERTS T M.Shear and normal stresses in adhesive joints[J].J Eng M ech,1989,115(11):2460-2479.
[11]VILNAY O.The analysis of reinforced concrete beams strengthened by epoxy bonded steel plates[J].Int J Cem Compos Lightw eight Concr,1988,10(2):73-78.
[12]RONGQIAO XU,YUFEI WU.Analytical study of beams strengthened by adhesively bonded reinforcement w ith variable properties using state space method[J].Compos.Sci.Technol,2009,69(11):1912-1918.
[13]郝建滨,穆志韬,李旭东.基于TOM理论的金属裂纹板复合材料胶接修补胶层应力分析[J].玻璃钢/复合材料,2014(10):27-31.
[14]赵培仲,胡芳友,黄旭仁,等.复合材料粘接修理结构中胶层的应力分布[J].玻璃钢/复合材料,2012(4):65-69.
[15]关志东,YANG CHIHDAR.复合材料管接头拉扭作用下胶层应力分析[J].复合材料学报,2004,21(3):96-101.
[16]HART-SMITH L J.Adhesive-bonded single-lap joints,NASA/CR-1973-112236[R].Washington,D.C,NASA,1973.
[17]赵波.考虑弯曲效应的混元胶接单搭接头应力模型[J].机械工程学报,2008,44(10):129-137.
[18]盛宏玉.叠层板自由边应力分析的状态空间法[J].合肥工业大学学报(自然科学版),2005,28(9):1182-1187.
[19]范家让.强厚度叠层板壳的精确理论[M].北京:科学出版社,1998.
[20]李春良.预应力CFRP加固钢筋砼梁复合结构力学行为分析[D].长春:吉林大学,2008.
[21]边祖光.功能梯度材料板壳结构的耦合问题研究[D].杭州:浙江大学,2005.
[22]吕朝锋.基于状态空间架构的微分求积法及其应用[D].杭州:浙江大学,2006.