The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics.The Journal especially welcomes papers that are related to recent technological advances, such as micro/nanomechanics, medical and biological systems, and microscale heat transfer.The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics.
The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.
This paper presents a new approach via hybrid particle swarm optimization (HPSO) scheme to solve the unit commitment (UC) problem. HPSO proposed in this paper is a blend of binary particle swarm optimization (BPSO) and real coded particle swarm optimization (RCPSO). The UC problem is handled by BPSO, while RCPSO solves the economic load dispatch problem. Both algorithms are run simultaneously, adjusting their solutions in search of a better solution. Problem formulation of the UC takes into consideration the minimum up and down time constraints, start-up cost, and spinning reserve and is defined as the minimization of the total objective function while satisfying all the associated constraints. Problem formulation, representation, and the simulation results for a ten generator-scheduling problem are presented. Results clearly show that HPSO is very competent in solving the UC problem in comparison to other existing methods.
The drilling process based on Material Reduction Rate (MRR) is modeled in this work. The modeling of this process is rather time-consuming and expensive as it involves 32 experiments with appropriate apparatus. Having had the model, the authors employed the well-known algorithm, namely Particle Swarm Optimization (PSO) to solve the maximization problem with some constraints present. All the results obtained showed non-violation to the constraints imposed. It means the solutions found are all feasible. The developed program may be useful for some practical purposes such as estimating the drilling duration, proper time to change the drill etc.
In a recent paper by the author, a wedge of cylindrically orthotropic elastic material under anti-plane deformations was studied. The solution depends on one non-dimensional material parameter γ, which is the square root of the ratio of the two shear moduli. For any given wedge angle 2α (no matter how small), one can choose a γ so that the stress at the wedge apex is infinite. In the special case of a crack (2α = 2π) there may be more than one stress singularity at the wedge apex. Some of them can be larger than the square-root singularity. On the other hand, one can also choose a γ so that there is no stress singularity at the wedge apex for any wedge angle, including the special case of a crack. In this paper we show that the same remarkable nature for anti-plane deformations prevails for the more complicated plane strain deformations. (The phrase 'remarkable nature' was used in the title of a paper by Antman and Negron-Marrero who considered the pressuring of radially symmetric nonlinear elastic bodies.) The solution now depends on two non-dimensional material parameters η and γ. The γ here is the square root of the ratio of the two principle elastic stiffnesses. The existence of non-existence of a singularity at the wedge apex depends on both η and γ. The classical paradox of Levy also appears here. The existence of a critical wedge angle depends entirely on η, not on γ. A critical wedge angle can be any angle, and there may be more than one critical wedge angle.
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