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MT-1620 al.2002 Previously saw (in Unit 19)that a multi degree-of-freedom system has the same basic form of the governing equation as a single degree-of-freedom system The difference is that it is a matrix equation q+kg 221) matrix So apply the same solution technique as for a single degree-of-freedom system. Thus, first deal with Free Vibration Do this by again setting forces to zero mq+ kq= o (222) Paul A Lagace @2001 Unit 22-2MIT - 16.20 Fall, 2002 Previously saw (in Unit 19) that a multi degree-of-freedom system has the same basic form of the governing equation as a single degree-of-freedom system. The difference is that it is a matrix equation: m q˙˙ + k q = F (22-1) ~ ~ ~~ ~ ~ = matrix So apply the same solution technique as for a single degree-of-freedom system. Thus, first deal with… Free Vibration Do this by again setting forces to zero: F = 0 ~ ~ m q˙˙ + k q = 0 (22-2) ~ ~ ~ ~ ~ Paul A. Lagace © 2001 Unit 22 - 2
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