弹性杆与结构接触冲击的冲击力计算研究

本文提出了一种将杆与结构的接触冲击问题简化为集中力与集中阻尼的常规结构动力学问题的计算模型。对于大型结构，可采用一种特殊的人工边界，只需对人工边界域内的结构用有限元法进行计算。这种人工边界是齐次的，可根据冲击影响区的大小人为地确定     

刚性球体三维高速垂直自由入水载荷

入水结构体在从空中弹道转入水下弹道的入水阶段，其周围的流体将呈现出强非线性性质，本文针对传统基于Wagner理论的结构体入水载荷计算模型不能很好描述流体三维流动的情况，基于无黏不可压流体流动模型，考虑流体弹性，采用微元边界运动等效方法对运动边界进行分段分析，计及入水过程中系统的动能损失，根据能量守恒，对刚性球体高速垂直自由入水过程中流体的三维流动进行了理论分析，建立了基于无黏不可压弹性流体的刚性球体垂直高速入水载荷计算模型，并与基于多介质任意拉格朗日欧拉方法的有限元模型进行了对比分析，验证了该方法的可行性。基于此模型，本文进一步分析了入水载荷的影响因素。该方法提供了一种计算结构体垂直高速入水载荷的思路，具有一定的理论意义和工程应用价值。     

Elastic–plastic contact force history and response characteristics of circular plate subjected to impact by a projectile

A new elastic–plastic impact–contact model is proposed in this paper. By adopting the principle of minimum acceleration for elastic–plastic continue at finite deformation, and with the aid of finite difference method, the proposed model is applied in the problem of dynamic response of a clamped thin circular plate subjected to a projectile impact centrally. The impact force history and response characteristics of the target plate is studied in detail. The theoretical predictions of the impact force and plate deflection are in good agreements with those of LDA experimental data. Linear expressions of the maximum impact force/transverse deflection versus impact velocity are given on the basis of the theoretical results. The project supported by the National Natural Science Foundation of China (10532020).     

Rocking of rigid block on nonlinear flexible foundation

The two prime models used currently to describe rocking of rigid bodies, the Housner’s model and the Winkler foundation model, can capture some of the salient features of the physics of this important problem. These two models involve either null or linear interaction between the block and the foundation.Hopefully, some additional aspects of the problem can be captured by an enhanced nonlinear model for the base-foundation interaction. In this regard, what it is adopted in this paper is the Hunt and Crossley’s nonlinear impact force model in which the impact/contact force is represented by springs in parallel with nonlinear dampers. In this regard, a proper mathematical formulation is developed accounting for the possibility of uplifting in the case of strong excitation. Further, an averaging procedure has been developed to expeditiously derive the steady state response amplitude in case of harmonic base excitation. The analytical study is supplemented by experimental tests developed in the Laboratory of Experimental Dynamics at the University of Palermo, Italy. In this context, because of the obvious relevance for historical monuments, free-rocking tests are presented for several marble-block geometries on both rigid and flexible foundations. Numerical vis-à-vis experimental data are examined, showing that the proposed nonlinear model is sufficiently versatile to capture additional aspects of the physics of the problem even for quite soft foundation materials.     

薄壁箱型结构吸收冲击能最大化的探讨

用薄壁箱型结构模型模拟在乘车空间不发生变形的条件下，发生正面冲突事故时车体．利用LS—DYNA程序分别地对附加质量附加在单个截面的模型、附加质量按照不同比例分配在两个截面的模型、改变前部分壁厚的模型进行冲击破坏模拟解析计算，根据其结果探讨在保持乘车空间的前提下如何增加前、后部冲击能的吸收问题．     

A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material

In this paper we present some results obtained by studying the mathematical model describing a moving boundary hyperbolic problem related to a time dependent stress impact in a bar of Maxwell-like material. Due to the impact a shock front propagates with a finite speed. Here our interest is to underline the influence of the dissipative term on the propagation of the shock front.

In the framework of the similarity analysis we are able to reduce the moving boundary hyperbolic problem to a free boundary value problem for an ordinary differential system. It is then possible, by applying two numerical transformation methods, to solve the free boundary value problem numerically. The influence of the dissipative term is evident: the free boundary (that defines the shock front propagation) is an increasing function of the dissipative coefficient.     

On shock waves in a special class of thermoelastic solids

This paper describes a thermoelastic model for shock waves in uniaxial strain based on a subclass of the so-called materials of Mie–Grüneisen type. We compare the Hugoniot curve with the isotherms and isentropes for this model, and we construct the shock-wave solution to a simple impact problem.     

The equations of motion of a system under the action of the impulsive constraints

In order to solve the problem of motion for the system with n degrees of freedom under the action of p impulsive constraints, we must solve the simultaneous equations consisting of n+p equations. In this paper, it has been shown that the undetermined multipliers in the equations of impact can be cancelled for the cases of both the generalized coordinates and the quasi-coordinates. Thus there are only n-p equations of impact. Combining these equations with p impulsive constraint equations, we have simultaneous equations consisting of n equations. Therefore, only n equations are necessary to solve the problem of impact for the system subjected to impulsive constraints. The method proposed in this paper is simpler than ordinary methods.     

受轴向撞击破坏的玻璃─环氧圆柱壳的等效模型

 将圆柱壳受轴向撞击破坏简化为一维问题,应用一维应力波传播的理论分析了破坏过程,由此计算了圆柱壳的吸能能力．结果表明,模型计算与撞击试验符合较好．     

Method of model analysis for flexible head impacting with elastic plane

ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｓｅａｒｃｈｅｓｓｈｏｗ :70ｔｏ 80ｐｅｒｃｅｎｔｏｆｔｈｅｖｅｈｉｃｌｅｓｔｈａｔｃａｕｓｅｔｈｅａｃｃｉｄｅｎｔｓａｒｅｓａｌｏｏｎｃａｒｓ[1].Ｉｎｔｈｅ 70ｐｅｒｃｅｎｔｏｆｔｈｅａｃｃｉｄｅｎｔｓ,ｔｈｅｈｕｍａｎｂｏｄｙｗｉｌｌｃｏｌｌｉｄｅｗｉｔｈｔｈｅｆｒｏｎｔｏｆｔｈｅｃａｒａｎｄｔｈｅｈｅａｄａｎｄｌｅｇｗｉｌｌｂｅｉｎｊｕｒｅｄ .Ｍｅａｎｔｉｍｅ ,ｔｈｅｈｏｏｄａｎｄｗｉｎｄｓｈｉｅｌｄｗｉｌｌｃａｕｓｅｔｈｅｉｎｊｕｒｙｏｆｔｈｅｈｅａｄａｎｄｔｈ…     

Dynamic expansion of a spherical cavity within a rate-dependent compressible porous material

The problem of shock expansion of cavities in geological or geologically derived media is of fundamental interest because it is closely related to the blast problem (propagation of waves from an explosion source) as well as to crater formation by hypervelocity projectile impact. Since rock and cementitious materials exhibit very strong high-rate and high-confinement sensitivities, those effects cannot be neglected in a realistic analysis of penetration events. In this paper a new model for the shock expansion of a spherical cavity in an infinite medium that displays very strong high-rate and high-confinement sensitivities is proposed. Waves are generated by an instantaneous rise of the pressure at the surface of the cavity.     

Implementation of effective procedures for unilateral contact modeling in multibody dynamics

The paper discusses the treatment of general contact/impact problems in multibody mechanical systems, with particular attention to the implementation of such procedures in commercial codes. We describe a unilateral contact model based on a flexible parameterization of the contacting surfaces, a geometrical minimum distance problem and a constitutive model of the interaction forces. The resulting numerical procedures are demonstrated by means of examples.     

Non-linear dynamics of a drill-string with uncertain model of the bit–rock interaction

The drill-string dynamics is difficult to predict due to the non-linearities and uncertainties involved in the problem. In this paper a stochastic computational model is proposed to model uncertainties in the bit–rock interaction model. To do so, a new strategy that uses the non-parametric probabilistic approach is developed to take into account model uncertainties in the bit–rock non-linear interaction model. The mean model considers the main forces applied to the column such as the bit–rock interaction, the fluid–structure interaction and the impact forces. The non-linear Timoshenko beam theory is used and the non-linear dynamical equations are discretized by means of the finite element method.     

受轴向撞击复合材料管的渐进破坏

玻璃—环氧圆柱壳 (管 )的撞击试验表明它的破坏是渐进过程。在低加载速率范围假定圆柱壳与均质圆柱杆具有相同的轴向破坏过程基础上 ,通过建立它们之间的刚度等效关系 ,复合材料圆柱壳的破坏问题简化为一维碰撞问题。根据一维应力波传播的理论 ,提出了圆柱壳受轴向撞击破坏的简化模型 ,分析了这一破坏过程中的能量变化。结果表明本文所提模型能较好地描述圆柱壳受轴向撞击渐进破坏。     

光滑粒子法与有限元的耦合算法及其在冲击动力学中的应用

扼要讨论了光滑粒子法的离散思想,充分利用光滑粒子法和有限元方法各自的优点,提出了一种初始时刻用有限元建模,计算过程中大变形单元自动转换为光滑粒子的耦合算法。高速碰撞的系列算例说明,耦合算法不但适宜于计算大变形冲击动力学问题,而且由于集两种方法的优点于一身,可以更高效地模拟一些高速碰撞问题,提高计算效率。     

流体流动的边界滑移问题研究进展

最近十几年来,随着现代微/纳米测试以及分子动力学模拟技术的出现和发展,流体流动的边界滑移问题研究获得了突 飞猛进的发展.边界滑移相关研究大体可分为3个方面: 实验、分子动力学模拟和理论数值分析,前两者主要以发现边界滑移现象、探索边界滑移的产生机理以及各因素对边 界滑移的影响规律为主要研究目的,而后者主要研究边界滑移的物理模型、相关问题的计算方法以及边界滑移对流体系 统流体动力学行为的影响.本文首先简要回顾了液体流动的边界滑移及其相关问题的早期研究历史,随后对边界滑移问题 的研究现状进行了综述,最后展望了该领域今后的研究重点及其应用前景.     

On the longitudinal impact of two phase transforming bars. Elastic versus a rate-type approach. Part I: The elastic case

Longitudinal impact experiments of thin bars are proposed as an effective mean for understanding the kinetics of stress-induced phase transformations. We consider on one side the elastic model and on the other side an augmented theory, which includes the Maxwellian rate-type viscoelasticity with finite instantaneous response and as a limiting case the Kelvin–Voigt viscoelasticity with infinite instantaneous response. By using the chord criterion, we investigate the complete set of Goursat and Riemann problems which could arise as a result of dynamic interactions when we consider a piecewise linear elastic model corresponding to a three phase material. Subsequently we use our Riemann solvers to construct solutions for the longitudinal impact of two elastic phase transforming bars for a variety of impact conditions. We focus on the results which can be measured in laboratory experiments like the time of separation of the two bars after impact, the profile of the particle velocity at the rear end of the target and the stress history at the contact point. In Part II of this paper we continue with a theoretical and numerical comparative analysis on the wave structure predicted by our general rate-type approach for the same impact problem.     

A new analytical model for pressure estimation of symmetrical water impact of a rigid wedge at variable velocities

In this paper we present an analytical solution to symmetrical water impact problems of a two-dimensional wedge. Unlike previous studies, we have taken into account the effect of velocity reduction of the solid body upon impact in order to determine impact pressure as well as the overall force acting on the body. This feature of our study provides a better estimate of the transitory nature of the phenomenon and leads to a more precise evaluation of the true dynamic load borne by the body. We obtained the solution to this problem through a generalization of the Wagner formulation and the use of an existing analytical prediction model of the entry velocity of the wedge. This approach allows us to obtain an original analytical equation for pressure in terms of the kinetics and geometrical parameters of the impact. The validity of the proposed model is demonstrated by a favourable comparison between the analytical results and the physical experiments carried out on several wedge models.     

基于波动模态耦合的铝电解槽磁流体稳定性傅立叶级数法分析

铝电解槽内磁流体稳定性对铝电解生产有重要影响。本文结合铝电解槽实体仿真的电磁场计算结果,应用傅立叶级数法对槽内磁流体波动稳定性进行数值计算,并对波动的模态耦合问题进行了重点分析。在此基础上,本文以某320kA铝电解槽为研究载体分析了槽长宽比设计对磁流体稳定性的影响,结果表明:波动的不稳定分量集中分布在频谱图中重力波模态密集的低频区域;不考虑母线对体系的影响,增大槽的长宽比,有利于提高磁流体的稳定性。     

Theoretical and experimental investigations of gear-rattling

Rattling vibrations in gear boxes are a noise problem of modern cars following the requirement to be as quiet as possible. The paper presents an uniform approach to model such vibrations based on classical impact theory and applying modern methods of topological dynamics. Some comparisons of theory and measurements utilizing a test set-up of a rattling machine are presented. They demonstrate the practical relevancy of the presented theory.