Showing papers by "R.H. Gutierrez published in 1989"
TL;DR: In this paper, the title problem is solved by using polynomial coordinate functions and the Ritz method to generate the frequency equation, and the agreement with results available in the literature or with eigenvalues determined by means of a finite element code is good from an engineering viewpoint.
30 citations
TL;DR: In this paper, the natural frequencies of a trapezoidal cantilever plate of variable thickness were determined using energy techniques, and the fundamental natural frequencies for different parameter values were also obtained using a deflection function containing an optimized exponent.
Abstract: N ATURAL frequencies of a trapezoidal cantilever plate of variable thickness, which model an aircraft wing structure approximately, are determined using energy techniques. Characteristic orthogonal polynomials in two variables are constructed to describe the structural deflections, which are used in the Rayleigh-Ritz method to obtain the natural frequencies. The fundamental natural frequencies for different parameter values are also obtained using a deflection function containing an optimized exponent. The first technique can be used to obtain the natural frequencies and corresponding mode shapes for the preliminary design of aircraft wing structures.
25 citations
8 citations
2 citations