计算力学学报
計算力學學報
계산역학학보
CHINESE JOURNAL OF COMPUTATIONAL MECHANICS
2015年
2期
287-292
,共6页
陈英杰%李志航%付宝连
陳英傑%李誌航%付寶連
진영걸%리지항%부보련
功的互等定理%混合变量%余能原理%不同载荷%四边简支%矩形板
功的互等定理%混閤變量%餘能原理%不同載荷%四邊簡支%矩形闆
공적호등정리%혼합변량%여능원리%불동재하%사변간지%구형판
the reciprocal theorem%mixed variables%the principle of complementary energy%different loads%simply supported on four sides%rectangular plate
由功的互等定理导出了弯曲矩形板混合变量的总余能,应用混合变量余能原理求解四边简支矩形板弯曲问题,给出了四边简支矩形板的混合变量余能表达式,求解了不同载荷作用下四边简支矩形板的弯曲问题,并将计算的不同载荷作用下的挠度和弯矩值与ANSYS有限元的计算值比较,给出了一种求解四边简支矩形板的新方法。
由功的互等定理導齣瞭彎麯矩形闆混閤變量的總餘能,應用混閤變量餘能原理求解四邊簡支矩形闆彎麯問題,給齣瞭四邊簡支矩形闆的混閤變量餘能錶達式,求解瞭不同載荷作用下四邊簡支矩形闆的彎麯問題,併將計算的不同載荷作用下的撓度和彎矩值與ANSYS有限元的計算值比較,給齣瞭一種求解四邊簡支矩形闆的新方法。
유공적호등정리도출료만곡구형판혼합변량적총여능,응용혼합변량여능원리구해사변간지구형판만곡문제,급출료사변간지구형판적혼합변량여능표체식,구해료불동재하작용하사변간지구형판적만곡문제,병장계산적불동재하작용하적뇨도화만구치여ANSYS유한원적계산치비교,급출료일충구해사변간지구형판적신방법。
The total complementary energy with mixed variables of the bending of the rectangular plate is deduced by applying the reciprocal theorem in this article .It solves the problem of the bending of the rectangular plate with simply supported on four sides by applying the principles of complementary ener‐gy with mixed variables .And it gives the expression for complementary energy with mixed variables of the rectangular plate with simply support on four sides .Through calculating the deflection surface equation under different loads by this method and comparing the ANSYS value with deflection value , moment value under different loads .Finally the author verifies the method presented in this paper can be applied directly to the project .