Free vibration analysis is carried out on axially inhomogeneous beams resting Winkler-Pasternak elastic foundation. The material properties of the beam like Young’s modulus, modulus rigidity and density are considered to be varying along length direction following constant, linear exponential models. subjected different combinations clamped simply supported boundary conditions. formulation base...

Given an instance I of a minimization problem with optimum opt, fixed parameter ρ(k) inapproximability is to find a k ≥ opt and prove that it is not possible to compute a solution of value ρ(k) · k. In this paper all proofs are under the eth, and we are interested only in k being the optimum value of some instance. Our question is: What properties make a good Fixed Parameter Inapproximability p...

In this paper a novel technique is presented to solve tolerance design problems. To achieve the desired performance tolerance the technique uses a subtle, but significant, change in the design rather than increasing component precision. This change is the addition of a tuning parameter. Statistical models are used to developed framework for the tuning parameter design method. Also developed is ...