Sentence examples for membrane problems from inspiring English sources

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.

A perturbation technique is used to reduce the eighth-order vibration problem for prestressed, clamped cylindrical shells to an equivalent sixth-order membrane problem.

The modeling challenges arising when the problem domain has small supported holes in it are considered through a representative 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.

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.

In the transformation to a membrane problem composite expansions are utilized, uniformly valid over the length of the shell, to formulate modified boundary conditions that account for the effects of bending near the shell ends.

A perturbation formula for the two-phase membrane problem is considered.

The Euler-Lagrange equation corresponding to the minimizer u is given by Weiss [1] and is called the two-phase membrane problem: (1.2).