- An Intersting Thing Happens When Springs Systems Have No Attachments To The Outside Consider The Following Free System 1 (46.77 KiB) Viewed 23 times
An intersting thing happens when springs systems have no attachments to the outside. Consider the following free system.
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answerhappygod
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An intersting thing happens when springs systems have no attachments to the outside. Consider the following free system.
An intersting thing happens when springs systems have no attachments to the outside. Consider the following free system. Ecocoyano with spring constants c = Assume down is the positive direction. Write the elongation matrix. -1 1 0 A 0 -1 1 Free Displacements. Because the system is unattached, it is possible to displace the masses without causing any internal force. We will find a (nonzero) displacement vector u so that Ku = A'CAU = 0 (1) Solve ATW O (forward substitution) (2) Solve Ce w (forward substitution) e= (3) Solve Au = e (back substitution). u = We say that u is the null space of the matrix K. All unattached systems have the same u (which you just computed) in their null space, which corresponds to displacing the entire spring system all together.
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