Sentence examples for membrane problem from inspiring English sources
A perturbation technique is used to reduce the eighth-order vibration problem for prestressed, clamped cylindrical shells to an equivalent sixth-order membrane problem.
By solving the simpler modified membrane problem numerically, one can demonstrate the effectiveness of the method against eighth-order bending solutions.
Transverse displacements are approximated by using Legendre polynomials and the membrane problem is solved in isolation by combining compatibility conditions and equilibrium equations.
The modeling challenges arising when the problem domain has small supported holes in it are considered through a representative membrane problem.
Here, the membrane problem is solved by adopting the Differential Quadrature Method (DQM), which provides accurate results at a relatively small computational cost.
Initially, the plate membrane problem is solved using the Ritz method to evaluate the plate in-plane stress distributions within the prebuckling range due to the applied non-uniform in-plane edge loading.
Nevertheless, we treat separately the three cases since the proofs in the Dirichlet problem ((beta=0)) and in the Neumann problem ((alpha=0)) are not particular cases of the Robin problem: in fact, we use the properties connected with the eigenvalues of the fixed, free, and elastically supported membrane problems, respectively, defined in problems (2.6), (3.3), and (4.3) (see [16]).
Although death and renal transplantation are the main reasons for discontinuation of peritoneal dialysis [ 49], peritonitis and membrane problems, such as ultrafiltration failure and encapsulating peritoneal sclerosis, are also important reasons for discontinuation of peritoneal dialysis.
Numerical applications, including a non-homogeneous composite membrane design problem and an industrial test case, are presented.
Here, we adapt a technology used for drug delivery — controlled release — and apply it to the membrane biofouling problem.
Based on the asymptotic solution for finite element predicted natural frequencies of a membrane vibration problem, the concept of asymptotic error and a practical error estimator are presented in this paper.
