Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part I: Analysis

The mathematical and physical analysis of magnetoelastic phenomena is a topic of ongoing research. Different formulae have been proposed to describe the magnetic forces in macroscopic systems. We discuss several of these formulae in the context of rigid magnetized bodies. In case the bodies are in contact, we consider formulae both in the framework of macroscopic electrodynamics and via a multiscale approach, i.e., in a discrete setting of magnetic dipole moments. We give mathematically rigorous proofs for domains of polygonal shape (as well as for more general geometries) in two and three space dimensions. In an accompanying second article, we investigate the formulae in a number of numerical experiments, where we focus on the dependence of the magnetic force on the distance between the bodies and on the case when the two bodies are in contact. The aim of the analysis as well as of the numerical simulation is to contribute to the ongoing debate about which formula describes the magnetic force between macroscopic bodies best and to stimulate corresponding real-life experiments.      

固支加筋方板的大挠度塑性动力响应

本文详细分析了爆炸载荷作用下固支回筋方板的大挠度塑性动力响应，给出了各种可能的运动模拟以及相应的差别条件，导出了最大残余变形的计算式，与文献［３］的试验结果比较表明，在多数情况下符合良好。     

Time and temperature induced phase transformation in L‐isoleucine hydrochloride monohydrated crystal

Semi organic crystals have been intensively studied aiming applications in nonlinear optical (NLO). Such applicability requires crystals with both high quality and thermal stability, which make the full characterization of this material a topic issue. In this paper, single crystals of L‐isoleucine hydrochloride monohydrated (L‐Ile.H2O.HCl) was synthesized by slow evaporation technique and characterized by thermal analysis and X‐ray diffraction (XRD) measurements. XRD results at 298 K showed that the sample crystallize with the orthorhombic structure, and the lattice parameters obtained by Rietveld refinement were a = 5.873(3) Å, b = 24.814(4) Å, and c = 6.873(5) Å. Thermal analysis measurements shows four decomposition stages between 328 ‐480 K which were associated with loss of water by desolvation, loss crystallization water and decomposition of L‐Ile.HCl. XRD measurements as a function of temperature up to 428 K show an irreversible phase transformation. This transformation was obtained after 32 hours keeping the L‐Ile.HCl.H2O sample at 413 K. The analysis shows that phase transformation occurs due to water and chlorine losses without destroy the amino acid carbon chain and in the end of transformation only the precursor amino acid remains. L‐Ile.HCl.H2O present low thermal stability and the phase transformation is time and temperature dependent.     

齿轮－转子－滑动轴承系统时变非线性动力特性研究

本文应用求周期解的数值计算方法─—打靶法和判定周期解稳定性的Ｆｌｏｑｕｅｔ乘子研究了齿轮－转子－滑动轴承系统中齿轮啮合时变刚度，滑动轴承非线性特性对转子系统不平衡响应和失稳的影响，并比较了平衡位置失稳和不平衡响应周期解失稳，以及按双轴计算与单轴计算结果的差别，为工程设计理论计算提供基础。     

平面杆系结构非线性稳定的样条有限元分析法

本文根据ＵＴＬ坐标列式，采用混合样条插值函数，基于虚功原理导出了平面杆系结构非线性稳定的样条有限元分析法。本文方法可以考虑杆件中初始挠度和初始应力的影响，可以计入材料的弹塑性加载卸载效应。算例表明，本文计算结果具有较高的精度。     

材料的动态损伤和失效

本文对动载荷下材料内部损伤演化过程的研究进行了较为全面、系统的介绍和总结,并对现有的各种动态损伤模型(包括笔者所提出的模型)进行了必要的比较、讨论和评述。     

动态加载装置和动态测试技术

本文介绍了力学试验中各种类型冲击加载装置及有关的动态测试技术,讨论了分段式Hopkinson压杆装置的加载特性、主要优点、用途以及在该装置上采用的一些测量新技术。文章中提出的应力波调节器,结构简单,重复性好,是动态光测技术中一种崭新的冲击加载装置。     

用应力波方法,测定粘弹性材料的动态力学性能

本文用粘弹性材料中应力波的弥散及衰减特性的实验数据来计算材料的动态力学性能参数。用塑料杆的纵波实验,测定了材料的拉压复柔量,并探讨了用横波实验测定材料剪切复模量的方法及有关问题。由测定结果在理论分析中应用,讨论了结果的可靠性。     

自适应网格加密和多重网格求解严重病态方程

本文探讨用自适应网格加密技术结合多重网格法求解由有限元离散导致的病态方程。计算结果表明；自适应多重网格有限元法是求解严重病态方程珠有效方法。