Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field

In this paper, propagation of shear waves in a non-homogeneous anisotropic incompressible, gravity field and initially stressed medium is studied. Analytical analysis reveals that the velocity of propagation of the shear waves depends upon the direction of propagation, the anisotropy, gravity field, non-homogeneity of the medium, and the initial stress. The frequency equation that determines the velocity of the shear wave has been obtained. The dispersion equations have been obtained and investigated for different cases. A comparison is made with the results predicted by Abd-Alla et al. [22] in the absence of initial stress and gravity field. The results obtained are discussed and presented graphically.     

The unilateral contact buckling problem of continuous beams in the presence of initial geometric imperfections: An analytical approach based on the theory of elastic stability

An analytical method for the treatment of the elastic buckling problem of continuous beams with intermediate unilateral constraints is presented, which is based on the fundamental theory of elastic stability. The study focuses on the unilateral contact buckling problem of beams in the presence of initial geometric imperfections. The mathematical Euler approach, based on the fundamental solution of the boundary value problem of the buckling of continuous beams, is appropriately modified in order to take into account the unilateral contact conditions. Furthermore, in order the obtained analytical solutions to be applicable for practical design cases, the actual strength of the cross-section of the beam under combined compression and bending is considered. The implementation of the proposed method is demonstrated through a characteristic example.     

高真空多层绝热低温容器真空丧失后的传热研究

高真空多层绝热低温容器的绝热夹层发生完全的真空丧失事故后,由于自然对流换热的原因,其绝热夹层的漏热量会急剧增加.在搭建了高真空多层绝热低温容器完全真空丧失后的传热研究实验台的基础上,使用于燥氮气为破空介质、液氮为低温介质,进行了多次高真空多层绝热低温容器的完全真空丧失实验.重点研究了低温容器液位及绝热材料层数的变化对其...     

火灾损失预测的改进GM(1,1)模型

本文对随机性较强的火灾事故,提出了采用改进GM(1,1)模型来减小预测误差.该模型通过三次改进提高预测精度,首先基于普通GM(1,1)模型,改进模型中初始值提高模型精度;其次基于初值改进后的GM(1,1)模型进行残差修正,再次提高预测准确性;最后对残差修正模型中的初始值进行改进,使最后预测模型更加精确.并且在处理含负值的残差数列时,提出了二次累加的方法进行模型预测.通过普通模型的预测值与改进模型的预测值进行对比,可以发现改进后模型的预测值更加接近实际值.结果表明,三次改进后的GM(1,1)模型精度明显提高,为以后预测研究提供一种理论参考.     

Existence and uniqueness of solutions of initial value problems for nonlinear langevin equation involving two fractional orders

The solvability of initial value problems for nonlinear Langevin equation involving two fractional orders are discussed in this paper. An existence result for the solution is obtained using the Leray–Schauder nonlinear alternative. In addition, sufficient conditions for unique solution are established under the Banach contraction principle. The existence results for the initial value problems of nonlinear classical Langevin equation follow as a special case of our results.     

Initial–boundary layer associated with the nonlinear Darcy–Brinkman system

We study the interaction of initial layer and boundary layer in the nonlinear Darcy–Brinkman system in the vanishing Darcy number limit. In particular, we show the existence of a function of corner layer type (so-called initial–boundary layer) in the solution of the nonlinear Darcy–Brinkman system. An approximate solution is constructed by the method of multiple scale expansion in space and in time. We establish the optimal convergence rates in various Sobolev norms via energy method.     

Integrated structural approach to Credit Value Adjustment

This paper proposes an integrated pricing framework for Credit Value Adjustment of equity and commodity products. The given framework, in fact, generates dependence endogenously, allows for calibration and pricing to be based on the same numerical schemes (up to Monte Carlo simulation), and also allows the inclusion of risk mitigation clauses such as netting, collateral and initial margin provisions. The model is based on a structural approach which uses correlated Lévy processes with idiosyncratic and systematic components; the pricing numerical scheme, instead, efficiently combines Monte Carlo simulation and Fourier transform based methods. We illustrate the tractability of the proposed framework and the performance of the proposed numerical scheme by means of a case study on a portfolio of commodity swaps using real market data.     

Classification of Casorati ideal Lagrangian submanifolds in complex space forms

In this paper, using optimization methods on Riemannian submanifolds, we establish two improved inequalities for generalized normalized δ-Casorati curvatures of Lagrangian submanifolds in complex space forms. We provide examples showing that these inequalities are the best possible and classify all Casorati ideal Lagrangian submanifolds (in the sense of B.-Y. Chen) in a complex space form. In particular, we generalize the recent results obtained in G.E. Vîlcu (2018) [34].     

Application of response surface methodology for modelling the enzymatic assay of hydrogen peroxide by Emerson–Trinder reaction using 4-iodophenol

In this work, an initial-rate spectrophotometric method and response surface methodology (RSM) were combined for modelling and optimizing the experimental parameters of the enzymatic Emerson–Trinder reaction, for the determination of hydrogen peroxide. This spectrophotometric indicator reaction is currently used in biotechnology for the determination of phenolic compounds (e.g. in industrial samples) and also for determination of various substrates (e.g. in clinical chemistry). Using 4-iodophenol as a hydrogen donor in this reaction, the quality of the generated second-order polynomial response model equation was checked by the kinetic assay of H₂O₂ in real samples (e.g. cosmetic and human pooled serum samples), where their resulting satisfactory analytical characteristics were reported.