In this study, a scheme using the Finite Element Method (FEM) for calculating inverse dynamics is proposed and applied to openand closed-loop link mechanisms. In this scheme, the entire system is subdivided into discrete elements and evaluated as a continuum. A single-link structure of a pin joint and a rigid bar is expressed by using the Shifted Integration (SI) technique. The proposed scheme ...

This paper presents the application of the finite element method to two inverse problems in solid mechanics. In the first application, a formulation for the inverse detection of unknown boundary conditions for thermoelastic problems is detailed. The second application involves the inverse determination of heterogeneous material properties for a loaded structure. Both approaches involve the use ...

  In this article, vibration analysis of an Euler-Bernoulli beam resting on a Pasternak-type foundation is studied. The governing equation is solved by using a spectral finite element model (SFEM). The solution involves calculating wave and time responses of the beam. The Fast Fourier Transform function is used for temporal discretization of the governing partial differential equation into a se...

The vibration pattern of a rotor system reflects the mechanical parameter changes in the system. Hence, the use of vibration monitoring is considered as a possible means of detecting the presence and growth of the cracks. In this paper, a pattern search based method for shaft crack detection is proposed and described which formulates the shaft crack detection as an optimization problem by means...

The task of the image reconstruction in Electrical Impedance Tomography (EIT) is highly ill-posed inverse problem. The level set method with the gradient technique is established model for our numerical problem. Interfaces between subdomains with constant conductivities are represented by the level set function. Moreover, only one function is needed to represent any numbers of phases. The itera...

This paper studies the application of an inverse methodology for problem solving in fracture mechanics using the finite element analysis. The method was applied to both detection of subsurface cracks and the study of propagating cracks. The procedure for detection of subsurface cracks uses a first order optimization analysis coupled with a penalty function to solve for the unknown geometric par...

The inverse problem in 3D eddy current imaging is ill-posed and non-linear. The most commonly used image reconstruction algorithms for electrical imaging are based on a linear approximation (the Jacobian Matrix). We start with an initial conductivity distribution. The forward problem is solved and the predicted voltages compared with the calculated voltages from the Finite Element model. The co...