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One-dimensional non-uniform distributed parameter system transfer function method of asymptotic

, Exact solutions of the above solution is a good approximation. Super element in the solution obtained after the nodes in the unit defined on the boundary equilibrium condition of generalized forces, the finite element method to unit assembly, ix groan Bian))-Il _ Lu maggot. . . . . . . . . . . 【1999 University of Defense Technology University No. 2 and then substituted into the boundary conditions of the entire structural system, obtain system response. Specific, see the literature 7]. 3 In this paper, numerical examples for the guillotine rectangular tapered beams, the application of these methods. (1) the role of cantilever beam under concentrated load,[link widoczny dla zalogowanych], as shown in Figure 2. For k / h for a 0.8 to calculate the deflection of the free end. Finite element method to obtain 500 units for the reference solution when the solution,[link widoczny dla zalogowanych], Table 1 shows the method used to take a different order perturbation solution obtained by solving results. Table 2 shows the finite element method results obtained several different units. Table 1 the free end of cantilever beam deflection (this solution) Tab. 1Thefreeenddeflectionofthecantilever (thispaper) second group of first-order perturbed third order fourth order perturbation solution are summarized EMU text / reference solution 08278581.030220.9945061.00001 Table 2 the free end of cantilever beam deflection (finite element solution) Tab2Thefreeenddeflectionofthecantilever (FEM) 1 units 2 units 10 units 14, ten ten cell finite element solution / reference solution 1162871.0377100083100008 tapered cantilever beam in Figure 2 F. 2Acantihverwithraring ~ ctoT loop 3 sets end tapered beams footer tree Fig. 3Astructuralwithtwonon-uni [ormb (2) uniform beam composite structure, as shown in Figure 3. Where h a h. , Ho / h = 0.9, L = L, the finite element method (1OO units) of the solution as a reference solution, the method (2 units,[link widoczny dla zalogowanych], 4-order perturbation) to solve the deflection of a point in question, the fixed end moment and shear, solution results in Table 3. Table 3 Solutions of Variable Fu Liang side Tab. 3So [utionofthenon-uniformstructural4 conclusions for the ~-dimensional non-uniform distributed parameter system, this paper proposes a form of simple, uniform asymptotic solution process transfer function method. Simple example is provided by the initial show the superiority of this method has high accuracy, the advantages of fast convergence. The number of unit as long as one or two,[link widoczny dla zalogowanych], to three or four order perturbation order can be obtained with sufficient accuracy the results, so this work is for engineering practice meaningful.
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