Equilibrated stress space for nonlinear dimensionally reduced shell models in terms of first-order stress functions

Bernoulli matrix approach for matrix differential models of first-order

The current paper contributes a novel framework for solving a class of linear matrix differential equations. To do so, the operational matrix of the derivative based on the shifted Bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. An error estimation of presented method is provided. Numerical experiments are...

Casimir stress for cylindrical shell in de - Sitter space

The Casimir stress on cylinderical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the cylinder is calculated. The metric is written in conformally flat form to make maximum use of the Minkowski space calculations. Different cosmological constants are assumed for the space inside and outside the cylinder to have general results applicable to t...

Stress in three-dimensionally integrated sensor systems

Dimensionally Reduced Chern-simons Terms and Their Solitons

We consider models in which nonrelativistic matter fields interact with gauge fields whose dynamics are governed by the Chern-Simons term. The relevant equations of motion are derived and reduced dimensionally in time or in space. Interesting solitonic equations emerge and their solutions are described. Finally, we consider a Chern-Simons term in three-dimensional Euclidean space, reduced by sp...

Reduced-order Reference Models for Adaptive Control of Space Structures

Reduced-Order Reference Models for Adaptive Control of Space Structures Alexander I. Scherling In addition to serving as a brief overview of aspects relevant to reducedorder modeling (in particular balanced-state and modal techniques) as applied to structural finite element models, this work produced tools for visualizing the relationship between the modes of a model and the states of its balan...