UTILIZATION OF THE POINT MATCHING TECHNIQUE FOR STRUCTURAL SHELL ANALYSIS.
Quarterly progress rept. no. 3, 1 Jun-31 Aug 67,
OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS
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The primary purpose of this report is to evaluate the accuracy of the point matching method when applied to a representative shallow shell problem. A problem was chosen which has an exact solution in rectangular coordinates - the spherical shallow shell having a square planform, loaded by uniform pressure, and supported at its boundaries by shear diaphragms. In the next section of the report, the exact solution is generated. It is a generalization of the well-known Navier solution of classical plate theory. A relatively simple computer program was written to implement this solution, and its statement listing is given in Appendix A. The point matching method is applied to the same problem in the following section. Particular solutions are obtained for the uniform pressure loading. These are added to the complementary solutions presented in an earlier report and together they supply the complete solution in polar coordinates. The problem is solved using various numbers of boundary points. Residuals along the boundary are tabulated for the point matching solutions. Further, deflections, bending moments, and membrane forces obtained from the solutions within the interior of the shell are compared with the exact values. The last section deals with some numerical difficulties encountered in computing the Bessel-Kelvin functions. Various computational procedures are discussed and compared. A statement listing of the sub-routine which is the most accurate of the procedures is given as Appendix B. Author