《智能材料教学课件》1压电主动层在梁振动控制中

ol of Aeronautical Science and Engineering, BUAA 补充:挠度和曲率补充:挠度和曲率?从而: ?在小挠度情况下,上式化为: School of Aeronautical Science and Engineering, BUAA ?其中: 3 3 3 1 1 2 1 2 1 1 3 2 3 2 2 s a a s s a s B B M E h E h h h ? ?? ? ????? ???? ?? ? ????? ? ????? ?? ?? ? 21 ( ) a b ij a s a M Be E h h h ? ?? ??? ? 1 1 ( ) ( ) a a E E H x H x l 为材料弹性模量 School of Aeronautical Science and Engineering, BUAA ?其中 H(x) 为海维赛德函数,其定义如下: ???????ax axaxH1 0)(?将(3) 式代入梁的振动方程(2) 式中有: 2 2 4 4 2 2x EM x wM t wA ib a??????????(6)