12. Consider the three degree-of-freedom system shown in Fig.4; it consists of three equal masses m and a foundation connected in series by three equal springs k. The absolute displacements of the masses are X1, X2, and x3. The stiffness coefficients are thus K1 = 4k, K22 = 6k, K33 = 3k, K12 = K21 = -k, K23 = K32 = -k, and K13 = K31 = 0. Determine the frequencies of the system. iny min m Fig.4
12. Consider the three degree-of-freedom system shown in Fig.4; it consists of three equal masses m and a foundation connected in series by three equal springs k. The absolute displacements of the masses are X1, X2, and x3. The stiffness coefficients are thus K1 = 4k, K22 = 6k, K33 = 3k, K12 = K21 = -k, K23 = K32 = -k, and K13 = K31 = 0. Determine the frequencies of the system. iny min m Fig.4
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Transcribed Image Text:12. Consider the three degree-of-freedom system shown in Fig.4; it consists of three equal
masses m and a foundation connected in series by three equal springs k. The absolute
displacements of the masses are x1, X2, and x3. The stiffness coefficients are thus K11 =
4k, K22 = 6k, K33 = 3k, K12 = K21 = -k, K23 = K32 = -k, and K13 = K31 = 0. Determine
%3D
the frequencies of the system.
ing
m
Fig.4
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