FREE VIBRATIONS OF PARTIAL CYLINDRICAL SHELLS BY EXACT SOLUTION AND PROPOSAL OF APPROXIMATE SOLUTION

This paper provides the natural circular frequencies and eigen modes of partial cylindrical shells with specific boundary conditions by exact solution first, and proposes in the next step the approximate solution. Exact natural frequencies and eigen modes are required as the reference standard to examine the accuracy of conventional numerical methods. By the approximate solution presented here the eigen values and modes are calculated quite easily with sufficient accuracy compared to exact results, and the expression of the modes is quite useful to the response analysis with modal superposition method.