冯·卡门方程维基百科,自由的 encyclopedia 卡门方程是一个模拟平板变形的四阶椭圆型非线性偏微分方程组:[1] Von Karman equation U Maple plot Von Karman equation w Maple plot Δ Δ ( u ) = a ( ( w x y ) 2 − w x x w y y ) {\displaystyle \Delta \Delta (u)=a((w_{xy})^{2}-w_{xx}w_{yy})} Δ Δ ( w ) = b ( u y y w x x + u x x w y y − 2 u x y w x y ) + c {\displaystyle \Delta \Delta (w)=b(u_{yy}w_{xx}+u_{xx}w_{yy}-2u_{xy}w_{xy})+c} 其中 Δ = ∂ ∂ x 2 + ∂ ∂ y 2 {\displaystyle \Delta ={\frac {\partial }{\partial x^{2}}}+{\frac {\partial }{\partial y^{2}}}}
卡门方程是一个模拟平板变形的四阶椭圆型非线性偏微分方程组:[1] Von Karman equation U Maple plot Von Karman equation w Maple plot Δ Δ ( u ) = a ( ( w x y ) 2 − w x x w y y ) {\displaystyle \Delta \Delta (u)=a((w_{xy})^{2}-w_{xx}w_{yy})} Δ Δ ( w ) = b ( u y y w x x + u x x w y y − 2 u x y w x y ) + c {\displaystyle \Delta \Delta (w)=b(u_{yy}w_{xx}+u_{xx}w_{yy}-2u_{xy}w_{xy})+c} 其中 Δ = ∂ ∂ x 2 + ∂ ∂ y 2 {\displaystyle \Delta ={\frac {\partial }{\partial x^{2}}}+{\frac {\partial }{\partial y^{2}}}}