The objective of this paper is to develop a finite element model for multi-body contact analysis of Cosserat materials. Based on the parametric virtual work principle, a quadratic programming method is developed for f...
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The objective of this paper is to develop a finite element model for multi-body contact analysis of Cosserat materials. Based on the parametric virtual work principle, a quadratic programming method is developed for finite element analysis of contact problems. The contact problem with friction between two Cosserat bodies is treated in the same way as in plastic analysis. The penalty factors, that are normally introduced into the algorithm for contact analysis, have a direct influence on accuracy of solution. There is no available rule for choosing a reasonable value of these factors for simulation of contact problems of Cosserat materials, and they are therefore cancelled through a special technique so that the numerical results can be of high accuracy. Compared with the conventional work on Cosserat elasticity, the newly developed model is on the contact analysis of the Cosserat materials and is seldom found in the existing literatures. Four examples are computed to illustrate the validity and importance of the model developed.
Various optimal control problems for linear parabolic systems with multiple constant time delays are considered. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The optimal contr...
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Various optimal control problems for linear parabolic systems with multiple constant time delays are considered. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The optimal control is obtained in the feedback form. Making use of the results of Schwartz's, the representation of the optimal feedback control is given. A simple example of application is also provided.
A fresh attempt has been made to develop a new algorithm for optimal power flow(OPF) using Fletcher's quadratic-programmingmethod. The new algorithm considers two decoupled subproblems needing minimum cost of gen...
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A fresh attempt has been made to develop a new algorithm for optimal power flow(OPF) using Fletcher's quadratic-programmingmethod. The new algorithm considers two decoupled subproblems needing minimum cost of generation and minimum system-transmission losses. These have been solved sequentially to achieve optimal allocation of real and reactive power generation and transformer tap settings with consideration of system-operating constraints on generation, busbar voltage and line-flow limits. The potential of the new algorithm for OPF has been demonstrated through system studies for two IEEE test systems and an Indian system. Results reveal that the proposed new algorithm has potential for online solving of OPF problems.
In the present study a shell contact problem with geometric and material nonlinearities is efficiently formulated by utilizing the mathematical programmingmethod. The contact surface is assumed unbonded and frictionl...
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A quadratic programming method is described for studying simultaneous sum and difference synthesis compromises, and establishing performance bounds, under the restriction of a two-section array feed network. A composi...
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A quadratic programming method is described for studying simultaneous sum and difference synthesis compromises, and establishing performance bounds, under the restriction of a two-section array feed network. A composite objective function is minimised, subject to a union of separate sets of sidelobe constraints, for the sum and difference modes of operation, to avoid a conflicting constraint set. Examples are given to illustrate the principal features of the method.
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