... 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...

... methods. 06 10 2009 20 05 2010 31 01 2011 13 04 2011 13 04 2011 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. The rib elastic proprieties can be identified via an inverse approach. Based on Eq. 13 for localized vibration we can investigate an inverse problem of identification of rib elastic proprieties using frequencies obtained from experimental data ( 12 13...

... was presented. It was shown that, with the formulation developed herein, it is possible to formulate the inverse problem as a problem of transforming the identified complex eigenvectors to a certain basis. The requirements for a successful transformation are that there should be a co-located sensor–actuator...

... the well-established principle directly from its governing equations and boundary conditions without Lagrange multipliers via the semi-inverse method previously proposed by this author. In addition, a family of generalized Hellinger-Reissner principles will also be obtained. inverse problems...