基于遗传神经算法的压力钢管外压稳定性分析

压力钢管外压稳定性分析是重要而难以解决的问题。用遗传-神经网络模型对压力钢管外压稳定问题进行仿真计算,模型具有神经网络强大的函数逼近功能,同时利用遗传算法克服传统神经网络方法易陷入局部极小点的缺陷。实例仿真结果表明,用实数编码遗传神经网络模型分析加劲压力钢管的外压稳定性,具有效率高、鲁棒性好的优点,精度满足工程要求。     

DESIGN OPTIMIZATION FOR TRUSS STRUCTURES UNDER ELASTO-PLASTIC LOADING CONDITION

In this paper, a method for the design optimization of elasto-plastic truss structures is proposed based on parametric variational principles (PVPs). The optimization aims to find the minimum weight/volume solution under the constraints of allowable node displacements. The design optimization is a formulation of mathematical programming with equilibrium constraints (MPECs). To overcome the numerical difficulties of the complementary constraints in optimization, an iteration process, comprising a quadratic programming (QP) and an updating process, is employed as the optimization method. Furthermore, the elasto-plastic buckling of truss members is considered as a constraint in design optimization. A combinational optimization strategy is proposed for the displacement constraints and the buckling constraint, which comprises the method mentioned above and an optimal criterion. Three numerical examples are presented to show the validity of the methods proposed.     

非线性动力方程的增维精细积分法

对线性定常结构的动力系统提出的精细积分法，能得到在数值上逼近于精确解的结果。但是对于非齐次动力方程却涉及到矩阵求逆的困难，而且通常与时间有关的非齐次项不能进入精细积分的细化过程。采用增维的方法，将非齐次动力方程化为齐次方程，在实施精细积分的过程中不必进行矩阵求逆。这种处理方法对于程序实现和提高数值计算的稳定性十分有利，而且在大型问题中可明显提高计算效率，数值算例显示本文方法是有效的。     

Fer’s expansion for generalized Hamiltonian system based on Lie transformation technique

In the present paper, we present a new method for integrating the ordinary differential equation, especially for the ordinary differential equation derived from explicitly time-dependent generalized Hamiltonian dynamic system, which is based on taking a factorization of the evolution operator as an infinite product of the exponentials of Lie operators. The above process is a Lie group (algebraic) method that retains the structural intrinsic properties of the exact solution when truncated and is used to analyze the main features of the so-called Fer’s expansion. The numerical examples are presented at the end of this paper.     

The solution for the generalized riccati algebraic equations of linear equality constraint system

Based on the dynamic equation, the performance functional and the system constraint equation of time-invariant discrete LQ control problem, the generalized Riccati equations of linear equality constraint system are obtained according to the minimum principle, then a deep discussion about the above equations is given, and finally numerical example is shown in this paper. Project supported by the National Natural Science Youth Foundation of China     

层状弹性半空间非轴对称动力问题的奇异解

在柱坐标系下，利用关于方位角的Ｆｏｕｒｉｅｒ变换及关于径向的Ｈａｎｋｅｌ变换，将弹性力学基本方程组转化为非齐次的一阶常微分方程组的标准形式．采用求解微分方程组的矩阵法，建立了介质层的传递矩阵．由层间完全接触条件，导出了在任意埋藏源作用下层状弹性半空间频域奇异解，时域奇异解可通过关于频率的Ｆｏｕｒｉｅｒ积分得到．该方法可应用到固体、流体层的情况     

A simple and efficient fourth-order approximation solution for nonlinear dynamic system

In the present paper, based on the classical Magnus expansion, a simple and efficient fourth-order integrator is given for an arbitrary nonlinear dynamic system, which can preserve the qualitative properties of the exact solution. The proposed method can be considered an averaging technique, and only requires evaluations of exponentials of simple unidimensional integrals. Finally, the numerical examples are given to demonstrate the validity and effectiveness of the method of this paper.     

Novel Acid‐Labile,Thermoresponsive Poly(methacrylamide)s with Pendent Ortho Ester Moieties

Novel acid‐labile, thermoresponsive methacrylamide‐based (co)polymers with pendent ortho ester groups were prepared by free radical polymerization of N‐(2‐methoxy‐1,3‐dioxan‐5‐yl) methacrylamide (NMM) and N‐(2‐ethoxy‐1,3‐dioxan‐5‐yl)methacrylamide (NEM). These polymers are both thermoresponsive and acid‐sensitive in aqueous solution, which was proved by transmittance measurements, fluorescence, and ¹H NMR spectroscopy. The LCSTs of the (co)polymers were shifted to higher temperature by increasing the content of the more hydrophilic NMM units. All of these polymers can be hydrolyzed under acidic condition and the hydrolysis rate increased with the decrease in the pH value.

     

线性等式约束系统广义Riccati代数方程的求解*

本文基于定常离散LQ控制问题的动力学方程、价值泛函及系统的约束方程,根据极大值原理,给出了线性等式约束系统下的广义Riccati方程,进而对上述方程进行了深入的探讨,并给出了相应的数值例题。     

Synthesis and Biological Evaluation of PEGylated MWO4 Nanoparticles as Sonodynamic AID Inhibitors in Treating Diffuse Large B-Cell Lymphoma

Sonodynamic therapy (SDT) triggered by ultrasound (US) has attracted increasing attention owing to its ability to overcome critical limitations, including low tissue-penetration depth and phototoxicity in photodynamic therapy (PDT). Biogenic metal oxide nanoparticles (NPs) have been used as anti-cancer drugs due to their biocompatibility properties with most biological systems. Here, sonosensitizer MWO₄-PEG NPs (M = Fe Mn Co Ni) were synthesized as inhibitors to activation-induced cytidine deaminase (AID), thus neutralizing the extensive carcinogenesis of AID in diffuse large B-cell lymphoma (DLBCL). The physiological properties of these nanomaterials were examined using transmission electron microscopy (TEM). The inhibition of NPs to AID was primarily identified by the affinity interaction prediction between reactive oxygen species (ROS) and AID through molecular dynamics and molecular docking technology. The cell apoptosis and ROS generation in US-triggered NPs treated DLBCL cells (with high levels of AID) were also detected to indicate the sonosensitivity and toxicity of MWO₄-PEG NPs to DLBCL cells. The anti-lymphoma studies using DLBCL and AID-deficient DLBCL cell lines indicated a concentration-dependent profile. The synthesized MWO₄-PEG NPs in this study manifested good sonodynamic inhibitory effects to AID and well treatment for AID-positive hematopoietic cancers.