公式

单自由度

1.无阻尼自由振动

kx0 mxxAsin(nt)

2.有阻尼自由振动

cxkx0 mxxAest

xAentsin(dt)

3.无阻尼受迫振动

kxF0sintmx

xAsint

4.有阻尼受迫振动

cxkxF0sintmx

xAsin(t)

两自由度

1.无阻尼自由振动

1k11k1210xxm11m12mmxkkx22221212220

x11xAsin(nt)rx2 x1A1sin(n1t1)A2sin(n2t2)Arsin(t)Arsin(t)xn1122n22211

2.有阻尼自由振动

1c11c12x1k11k12x10xm11m12mxx0mxcckk222212122221222

stx1A1exstx2A2e

S11n1ir1，S12n1ir1

S21n2ir2，S22n2ir2

x1B1en1tsin(r1t1)B2en2tsin(r2t2)

x2B11en1tsin(r1t1)B22en2tsin(r2t2)

3.无阻尼受迫振动

x1A1sintx2A2sint

4.有阻尼受迫振动

x1A1sin(t1)x2A2sin(t2)

MXKXFsint

MXCXKXFsint

