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A novel and efficient method to simulate the behavior of guidewires in the vascular system is proposed in this paper. The graph-theoretical method is based on the principle of minimal total potential energy. We formulate the total potential energy in the vascular interventional system as the summation of the elastic energy of the guidewire and the energy due to the deformation of the vessel wall....
In this paper the principle of stationary total potential energy in structural dynamics first presented by the author is thoroughly examined. It is clearly shown that when being used in conjunction with a new matrix assembly technique called the "set-in-right-position" rule also proposed by us, which is inherently different from the most widely used direct stiffness method, the proposed...
Modern industries, e.g., semiconductor packaging, imposes increasingly stringent requirements on equipments with very high acceleration and high precision. Traditional design is approaching its physical limitations. The integrated design method is proposed as an preferable technique of the traditional one. In this paper, a general framework of the integrated design method is presented. The dynamic...
A numerical method is established to solve a coupled problem of minimizing a nonquasiconvex potential energy and its relaxed energy. Convergence of the method is proved. A numerical example shows that the method is successful and efficient in solving problems with nonlinear boundary data and inhomogeneous laminated microstructures.
A conventional flat silicon diaphragm does not perform well in a low pressure range sensor that requires high output and high accuracy because the large deflection of diaphragm causes severe nonlinearity when the diaphragm thickness is small for high output. This phenominon is known as the balloon effect. In order to solve this problem, an improved structure with two bulk masses on the back of a square...
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