Using the comparison functions in Eq. (2.310), apply the Ritz method to determine approximate values for the first three natural frequencies, varying the number of terms from one to five. Let \i — k — 1/2.

Answer. See Table 2.13.

Table 2.12. Approximate Values of a>2\/mI4/(EI) for Pinned-Free Beam Having a Root Rotational Spring with Spring Constant of kEI/Î Using One Rigid-Body Mode (x ) and n — 1 Polynomials That Satisfy Clamped-Free Beam Boundary Conditions

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