A time-space Kriging-based sequential metamodeling approach for multi-objective crashworthiness optimization

A time-space Kriging-based sequential metamodeling approach is proposed for multi-objective crashworthiness optimization (MOCO) in this paper. By defining the novel time-space design criteria, the constructed metamodels for the optimization objectives include the characteristic mechanical responses with respect to both the structural space domain and crash time domain, compared to standard metrics with the extremum of the time history of the entire structure. The adaptive addition of new samples is performed to gradually improve the approximation accuracy during the optimization with the guidance of an adaptive weighted sum method. The effectiveness of the proposed method is demonstrated by investigating a multi-cell thin-walled crashworthiness design problem. Finally, its effectiveness in practical engineering is validated by the crashworthiness design for a vehicle under full-overlap frontal crash loadcase.     

Selective projection methods for solving a class of variational inequalities

Numerical Algorithms - Very recently, Gibali et al. (Optimization 66, 417–437 2017) proposed a method, called selective projection method (SPM) in this paper, for solving the variational...     

A self-adaptive iterative algorithm for the split common fixed point problems

Numerical Algorithms - In this paper, we use the dual variable to propose a self-adaptive iterative algorithm for solving the split common fixed point problems of averaged mappings in real Hilbert...     

The Dep endence Problem for a Class of Polynomial Maps in Dimension Four

Let h be a polynomial in four variables with the singular Hessian Hh and the gradient ▽h and R be a nonzero relation of ▽h. Set H = ▽R（▽h）. We prove that the components of H are linearly dependent when rkHh ≤ 2 and give a necessary and sufficient condition for the components of H to be linearly dependent when rkHh = 3.     

Achieving Multicolor Upconversion Emissions without Changing Compositions

It is widely recognized that a proper way of adjusting fluorescence color is meaningful for pushing forward upconversion materials to be utilized in anti-counterfeiting, display and solid-state lightning applications. Traditional routes that apply different host materials and/or doping categories to adjust fluorescence color have shown large color region tunability yet have to rely on complex synthesis process accompanied with time and raw material consumption. In this work, in order to get a wide luminous color gamut without depending on reciprocating synthesis, we desinged and provided a high-sensitizer-concentration upconversion crystals, hexagonal NaLuF₄:Yb³⁺/Er³⁺ (50/2 mol%), whose red-to-green emission intensity ratio can be conveniently tuned from 2.69 to 4.96 by simply modulating excitation power densities. The promoted three-photon-population progress of red emission achieved by using an intensive excitation laser is considered to be responsible for the facile upconversion modulation. The results may provide new ideas for emission color control that based on external parameters in identical host and the greatly amplified excitation power-sensitivity of NaLuF₄:Yb³⁺/Er³⁺ (50/2 mol%) is highly potential for fluorescence anti-fake and colorful display applications.

     

Vibration discrimination based upon multifractal spectrum and improved probabilistic neural network in the dual Mach–Zehnder interferometric perimeter system

Optical Review - For improving the performance of vibration discrimination in terms of dual Mach–Zehnder interferometric (DMZI) perimeter system, we proposed a novel method based upon the...     

基于模糊模拟的AHP在风险投资项目评价中的应用

利用基于模糊模拟的层次分析法评价风险投资项目,其中评价因素和评价因素的权重用模糊变量代替,利用模糊模拟技术处理评价模型,计算投资项目的期望值,这样可以弥补传统的层次分析法的缺点。最后,运用基于模糊模拟的层次分析法对三个风险投资项目进行评价。     

Solutions for a quasilinear elliptic equation in Musielak–Sobolev spaces

Critical point theory is used to show the existence of weak solutions to a quasilinear elliptic differential equation under the functional framework of the Musielak–Sobolev spaces in a bounded smooth domain with Dirichlet boundary condition.     

Controlled Teleportation of Multi-qudit Quantum Information by Entanglement Swapping

In this paper, we present a scheme for teleporting multi-qudit quantum state, from the sender Alice to the receiver Charlie via many controllers Bobs, whose control parameters are obtained using entanglement swapping of maximally d-dimensional EPR pair. In our scheme, Yang＇s qutrit controlled teleportation protocol [Commun. Theor. Phys. 49 （2008） 338] based on Bell-state entanglement swapping is generalized to the qudit case. The scheme of multi-qudit owns the advantage of having higher code capacity and better security than that of multi-qutrit.     

A meshless method for the Cauchy problem in linear elastodynamics

In this paper, we establish new density result for the Navier equation. Based on the denseness of the elastic single-layer potential functions, the Cauchy problem for the Navier equation is investigated. The ill-posedness of this problem is given via the compactness of the operator defined by the potential function. The method combines the Newton’s method and minimum norm solution with discrepancy principle to solve an inverse problem. Convergence and stability estimates are then given with some examples for numerical verification on the efficiency of the proposed method.