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On the Capability of Linear Viscoelasticity Theory to Describe the Effect of Extending Region of Material Linearity as the Hydrostatic Pressure Grows 线性粘弹性理论描述材料线性延伸区域随静水压力增大影响的能力
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-07-06 DOI: 10.3103/S0027133021010040
A. V. Khokhlov

Applicability indicators of the linear viscoelasticity constitutive relation for isotropic time-dependent materials with arbitrary shear and bulk creep compliances are considered. General properties of the creep curve families for volumetric, longitudinal, and lateral strains generated by this linear relation under constant uniaxial tension and constant hydrostatic pressure are studied analytically. It is proved that the linear theory of viscoelasticity is able to describe the effect of (monotonic) expansion of a linear behavior range of material qualitatively as the hydrostatic pressure grows; more precisely, the effect of expansion of a range of axial stress values under which the axial compliance is independent of the stress level. The analysis reveals a number of specific features of the theoretical creep and compliance curves that can be conveniently employed as the applicability or non-applicability indicators of the linear viscoelasticity theory by the data of material creep tests under action of tensile load and hydrostatic pressure.

考虑了具有任意剪切和块体蠕变柔度的各向同性时变性材料的线性粘弹性本构关系的适用性指标。分析研究了在恒定单轴拉伸和恒定静水压力条件下由该线性关系产生的体积、纵向和侧向应变蠕变曲线族的一般性质。证明了粘弹性线性理论能够定性地描述随着静水压力的增大，材料线性行为范围(单调)扩展的影响;更确切地说，轴向柔度与应力水平无关的轴向应力值范围扩展的影响。通过对拉伸载荷和静水压力作用下材料蠕变试验数据的分析，揭示了理论蠕变曲线和柔度曲线的一些具体特征，可以方便地作为线性粘弹性理论的适用性或不适用性指标。
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引用次数: 0
Attainability Set and Robust Stability of Perturbed Oscillatory Systems 摄动振荡系统的可达性集与鲁棒稳定性
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-07-06 DOI: 10.3103/S0027133021010027
V. V. Aleksandrov, D. I. Bugrov, V. N. Zhermolenko, I. S. Konovalenko

The second-order oscillatory system with constant coefficients in the presence of a time-varying bounded external perturbation is considered. Extreme points of the limit cycle, the boundary of the attainability set, are determined. The limit cycle is used to obtain the quality estimates of the system robust stability against the time-varying perturbation.

研究了具有时变有界外部扰动的常系数二阶振荡系统。确定了极限环的极值点，即可达集的边界。利用极限环得到系统对时变扰动鲁棒稳定性的质量估计。
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引用次数: 3
On the Effect of Aligning Moments on the Wheeled Vehicle Dynamics at (boldsymbol{mu})-Split 对准力矩对(boldsymbol{mu}) -Split轮式车辆动力学的影响
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-07-06 DOI: 10.3103/S0027133021010064
A. V. Vlakhova, A. P. Novoderova

The motion of a biaxial four-wheeled vehicle is simulated on the (mu)-split surface, which is a section of the reference plane containing regions with different friction coefficients, in the case when the friction coefficient for one of the wheels of the driving axis turns out to be significantly less than the friction coefficient for the remaining wheels. The effects of the longitudinal and transverse deformations of the wheels and of the aligning moments on the dynamics of its body are studied under the assumption that the wheels of the vehicle do not lose grip with the reference plane.

在参考平面的一段含有不同摩擦系数区域的(mu) -split曲面上模拟双轴四轮车辆在驱动轴的一个车轮的摩擦系数明显小于其余车轮的摩擦系数的情况下的运动。在假定车轮与参考平面不失去抓地力的情况下，研究了车轮的纵向和横向变形以及调直力矩对车身动力学的影响。
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引用次数: 0
A Subclass of Solutions for Equations of a Reduced Atmospheric Model 简化大气模式方程解的一个子类
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-07-06 DOI: 10.3103/S0027133021010052
M. K. Turzynsky

A special subclass of solutions of the three-dimensional system of ideal polytropic gas equations corresponding to an atmospheric model is considered. The properties of these solutions are completely characterized by a high-order nonlinear system of ordinary differential equations. Unlike the corresponding two-dimensional model, all singular points of this system have been found to be unstable. Some first integrals of this system have been found. In the case of axial symmetry, the system can be reduced to a single equation. If the adiabatic exponent is equal to 2, the system is integrable.

考虑了与大气模式相对应的理想多向气体三维方程组的一类特殊解。这些解的性质完全可以用一个高阶非线性常微分方程组来表征。与相应的二维模型不同，该系统的所有奇异点都是不稳定的。得到了该系统的一些初积分。在轴对称的情况下，系统可以简化为一个方程。如果绝热指数等于2，系统是可积的。
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引用次数: 0
The Advanced Convergence Method in the Problem on Torsional Oscillations of a Circular Disc Inhomogeneous in Thickness 厚度非均匀圆盘扭转振动问题的先进收敛方法
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-04-06 DOI: 10.3103/S0027133020060023
L. D. Akulenko, D. V. Georgievskii, S. V. Nesterov
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引用次数: 0
A Displacement Discontinuity Method of High-Order Accuracy in Fracture Mechanics 断裂力学中一种高阶精度位移不连续方法
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-04-06 DOI: 10.3103/S0027133020060060
A. V. Zvyagin, A. S. Udalov
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引用次数: 2
Lagrangian Representation of the Family of Gordon–Schowalter Objective Derivatives at Simple Shear 简单剪切下Gordon-Schowalter目标导数族的拉格朗日表示
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-04-06 DOI: 10.3103/S0027133020060047
E. D. Martynova
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引用次数: 0
Bifurcation Analysis of a System of Three Connected Bodies in a Homogeneous Gravitational Field 均匀引力场中三连通体系统的分岔分析
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-04-06 DOI: 10.3103/S0027133020060035
A. V. Karapetyan, M. P. Chaplygina
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引用次数: 0
Numerical-Analytical Method for Solving Equations of the Physical Theory of Meteors at Variable Ablation Parameter 变烧蚀参数下流星物理理论方程的数值解析求解方法
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-04-06 DOI: 10.3103/S0027133020060059
G. A. Tirskii, I. G. Brykina, S. V. Zhluktov
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引用次数: 3
Equilibrium of Liquid Drop on Rotating Disc 旋转圆盘上液滴的平衡
IF 0.3 Q4 Engineering
Moscow University Mechanics Bulletin
Pub Date : 2021-03-20 DOI: 10.3103/S0027133020040044
P. N. Konon, E. I. Mogilevskiy, G. N. Sitsko, V. Ya. Shkadov
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引用次数: 0
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