... moving morphable inclusions (MMIs) to solve the inverse problem. Thereby, the total number of the optimization parameters is remarkably reduced compared with the conventional iterative inverse algorithms to identify the nonhomogeneous shear modulus distribution of solids. The proposed inverse approach...

.... The inversion methods presented in this paper show improved NDE results over many of the existing algorithms. elasticity elastodynamics inverse problems nondestructive testing system monitoring multilayered medium elasticity seismic inverse problem nonlinear optimization numerical analysis...

...Firdaus E. Udwadia; George Leitmann; Hancheol Cho This paper deals with the inverse problem of finding a suitable integrand so that upon the use of the calculus of variations, one obtains the equations of motion for systems in which the forces are nonpotential. New extensions and generalizations...

... for identifying the elastic properties of the rib. plates (structures) elastic waves beams (structures) bending elasticity inverse problems In Fig. 2 the condition for the existence of localized bending waves in an isotropic rib reinforced plate for various plate thicknesses is shown. Poission’s...

... damping eigenvalues and eigenfunctions state-space methods inverse problems System identification, in the most general sense, can be described as the identification of the conditions and properties of mathematical models that aspire to represent real phenomena in an adequate fashion. The choice...

... inverse problems elasticity It is well known that the Hellinger-Reissner principle can be deduced from the minimum complementary energy principle via the Lagrange multiplier method by eliminating the constraints of equilibrium equations. In this paper, we will rederive the well-established...