Question: Assuming unit masses at the nodes, find the vibra-tional frequencies and describe the normal modes for the following planar structures. What initial conditions will not

Assuming unit masses at the nodes, find the vibra-tional frequencies and describe the normal modes for the following planar structures. What initial conditions will not excite its instabilities (rigid motions and/or mechanisms)?
(a) An equilateral triangle
(b) A square
(c) A regular hexagon

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a There are 3 linearly independent normal modes of vibration one of frequency 3 in which the triangle expands and contacts and two of frequency 32 in ... View full answer

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