Simple Statically Indeterminate Truss (Linear, Nonlinear and Stochastic Approach)

Module2: Analysis of statically indeterminate structures by matrix force method

Using Rotations to Obtain Compatibility Equations for Statically Indeterminate Trusses

This paper presents a new way of determining the compatibility conditions for statically indeterminate trusses. It is based on equations relating the angular displacements (rotations) of truss elements to the corresponding extensions obtained by requiring the displacements of the truss structure to be compatible, i.e., single valued. This new angular displacement method is likely to be most adv...

Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach

We prove well-posedness results for stochastic nonlinear Schrödinger equations with linear multiplicative Wiener noise including the non-conservative case. Our approach is different from the standard literature on stochastic nonlinear Schrödinger equations. By a rescaling transformation we reduce the stochastic equation to a random nonlinear Schrödinger equation with lower order terms and treat...

Chapter 1 Stochastic Linear and Nonlinear Programming

The amount of wheat and corn produced in excess will be sold at prices of $ 170 per ton for wheat and $ 150 per ton for corn. For sugar beets there is a quota on production which is 6000 T for the farmer. Any amount of sugar beets up to the quota can be sold at $ 36 per ton, the amount in excess of the quota is limited to $ 10 per ton. We denote by w1 and w2 the amount in tons of wheat resp. co...

A simple indeterminate infinite game

One of the simplest and yet non-trivial results in foundations of mathematics, which can be presented to high school pupils, is Theorem of Zermelo on the determinacy of the game of chess [14]: either Black or White has a winning strategy, or both players have strategies to achieve a draw. The proof smoothly generalizes the problem to all nite games with perfect information, and reveals an algor...