摘要：This paper discusses a special class of mathematical programs with equilibrium constraints. At first, by using a generalized complementarity function, the discussed problem is transformed into a family of general nonlinear optimization problems containing additional variable μ. Furthermore, combining the idea of penalty function, an auxiliary problem with inequality constraints is presented. And then, by providing explicit searching direction, we establish a new conjugate projection gradient method for optimization with nonlinear complementarity constraints. Under some suitable conditions, the proposed method is proved to possess global and superlinear convergence rate.

摘要：本文提出了全面学习和相量粒子群相结合的方法用于解决限定固有频率约束下的空间结构优化问题.通过将相量理论和全面学习策略相结合以提高粒子群算法的效率.在优化的过程中,一个所谓的相角采用了周期正弦和余弦函数给定义速度的关键参数建模使得速度可以从所有粒子前一步的最佳位置中选取.这个方法不但实现了粒子们可以快速学习并且在少量的计算中进行了在作用力和固有频率约束下结构杆件的安全性评估和优化尺寸分布.提出的优化设计方法成功解决了一些工程应用结构的基准设计问题,这证明了本文方法相对于最新元启发方法的准确性和稳定性.

摘要：The heat transfer between two corresponding plates,disks,and concentric pipes has many applications,including water cleansing and ***,TiO_(2)-water-based nanofluids are used widely because it is useful for operating and controlling the temperature,especially in photovoltaic technology and solar *** by these applications,the current study is based on the nanoparticle aggregation effect on magnetohydrodynamics(MHD)flow via rotating parallel plates with the chemical *** achieve maximum heat transportation,the Bruggeman model is used to adapt the Maxwell ***,melting and thermal radiation effects are considered in the modeling to discuss heat *** Runge-Kutta-Fehlberg 4th−5th order method is used to attain numerical *** main focus of this study is to see the thermodynamic behavior considering several aspects of nanoparticle *** heat transfer rate between the parallel plates is enhanced by improving the thermophoresis,radiation,and Brownian motion *** rise in Schmidt number and chemical reaction rate parameter decreases the concentration *** study will be helpful in enhancing the thermal efficiency of photovoltaic technology in solar plates,water purifying,thermal management of electronic devices,designing effective cooling systems,and other sustainable technologies.

摘要：A flow control method based on an active jet is developed to restart hypersonic inlets. The dynamic restarting process is numerically reproduced by unsteady Reynolds averaged Navier-Stokes(RANS) modeling to verify the effectiveness and reveal the influence of jet conditions. The active jet improves the inlet unstart status by drawing the high-pressure separation bubble from the internal compression duct and performing a full expansion to alleviate the adverse pressure gradient. Moreover, the favorable pressure gradient in the inlet caused by jet expansion allows for a successful restart after turning off the jet. The influence of the jet momentum ratio is then analyzed to guide the design of the active jet control method and choose the proper momentum ratios. A low jet momentum does not eliminate the high-pressure separation bubble, whereas an excessive jet momentum causes severe momentum loss due to the induced shock. The general rule in restarting the inlet using an active jet is to allow a full jet expansion downstream of the jet slot while avoiding excessive momentum loss upstream and preventing the thick low-speed layer.