Mechanics of Solids最新文献

Optimal Reorientation of a Rigid Body (Space Vehicle) with Limited Control Based on a Combined Quality Functional 基于组合质量泛函的有限控制刚体（空间飞行器）最优重定向

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425600606

M. V. Levskiy

{"title":"Optimal Reorientation of a Rigid Body (Space Vehicle) with Limited Control Based on a Combined Quality Functional","authors":"M. V. Levskiy","doi":"10.1134/S0025654425600606","DOIUrl":"10.1134/S0025654425600606","url":null,"abstract":"A quaternion solution of the problem on optimal rotation of a rigid body (spacecraft) from an arbitrary initial to a specified angular position with constraints on the control variables is presented. A combined quality functional has been used to optimize the control process. It combines in a given proportion the sum of time and control efforts spent on the rotation and the integral of the kinetic energy of rotation during the rotation. Based on L.S. Pontryagin’s maximum principle and quaternion models of controlled motion of a rigid body, a solution of the problem is obtained. The properties of optimal motion are disclosed in an analytical form. Formalized equations and calculation formulas are written to construct the optimal rotation program. Analytical equations and relations for finding optimal control are given. Key relations that determine the optimal values of the parameters of the rotation control algorithm are given. A constructive scheme for solving the boundary value problem of the maximum principle for arbitrary rotation conditions (initial and final positions and moments of inertia of the rigid body) is also given. In the case of a dynamically symmetric rigid body, a solution of the reorientation problem in closed form is obtained. A numerical example and the results of mathematical modeling, confirming the practical feasibility of the developed method for controlling the orientation of a spacecraft, are presented.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2428 - 2444"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

External and Internal Factors Affecting the Stress-Strain State of a Ceramic Shell Mold During the Solidification of a Steel Casting 钢铸件凝固过程中影响陶瓷壳型应力-应变状态的内外因素

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425601351

A. I. Evstigneev, A. A. Evstigneeva, E. A. Dmitriev, E. P. Ivankova, V. I. Odinokov, D. V. Chernishova

引用次数: 0

On Dynamic Contact Points Problems with Dies of Complex Rheologies in the Quarter Plane of an Anisotropic Composite 各向异性复合材料四分之一面复杂流变模的动态接触点问题

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425601107

V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, V. S. Evdokimov

{"title":"On Dynamic Contact Points Problems with Dies of Complex Rheologies in the Quarter Plane of an Anisotropic Composite","authors":"V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, V. S. Evdokimov","doi":"10.1134/S0025654425601107","DOIUrl":"10.1134/S0025654425601107","url":null,"abstract":"In this paper, for the first time, a solution is constructed to the dynamic contact problem of the time-harmonic effect of a deformable die on a layer of anisotropic composite material. It is assumed that the die occupies the region of the first quadrant and has a complex rheology, in particular, the linear theory of elasticity. The paper uses a universal modeling method developed by the authors, which makes it possible to apply the block element method to both differential and integral equations. The solutions of boundary value problems for deformable dies of complex rheology are constructed in the form of decompositions according to the solutions of boundary value problems for materials of simple rheology described, for example, by Helmholtz equations. This possibility was previously established for materials of a wide range of rheology by using Galerkin transformations. The solution of the two-dimensional Wiener-Hopf integral equation is obtained both in coordinate form and in Fourier transforms. This makes it particularly convenient to further study it using analytical or numerical methods using standard computer programs. They will make it possible to identify certain properties of composites used as structural materials in various engineering technologies dictated by types of anisotropies, as well as in issues of seismology in the study of seismicity in mountainous areas. The constructed integral representation of the solution of the contact problem, which makes it possible to identify terms describing the concentrations of contact stresses under the die, makes it possible to select the soles of deformable dies or the properties of the materials used to get rid of undesirable concentrations of contact stresses or enhance them. Since Vorovich resonances can occur during vibration in contact problems with a deformable die, systems of equations are constructed in the work that allow, when solved, to obtain a dispersion equation for finding resonant frequencies.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2376 - 2384"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Influence of Deformation Anisotropy on the Stress State of Metals During Plastic Deformation 塑性变形过程中变形各向异性对金属应力状态的影响

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425602630

D. A. Potianikhin, A. I. Evstigneev, M. Y. Tuev

引用次数: 0

Analysis of Elastic Properties of Cubic Crystals of Simple Substances Using the Diagram A – ν0 用A - ν0图分析简单物质立方晶体的弹性性质

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425602551

A. I. Epishin, D. S. Lisovenko

引用次数: 0

Prediction of the Load-Bearing Capacity of Curved Rotating Reinforced Discs Made of Rigid-Plastic Various-Resistance Materials 刚塑性变阻材料弯曲旋转增强盘承载能力预测

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654424606980

A. P. Yankovskii

{"title":"Prediction of the Load-Bearing Capacity of Curved Rotating Reinforced Discs Made of Rigid-Plastic Various-Resistance Materials","authors":"A. P. Yankovskii","doi":"10.1134/S0025654424606980","DOIUrl":"10.1134/S0025654424606980","url":null,"abstract":"A problem on a conditional extremum that allows one to determine, based on the second limiting state, the upper limit of the maximum angular velocity of rotation of an axisymmetrically curved, fiber-reinforced disk is formulated. The structure is rigidly fixed to the vase or hub; blades can be attached to the outer edge of the disc blade. The materials of the components of the composition are assumed to be rigid-plastic, having asymmetry under tension and compression; the material of the binding matrix may have cylindrical anisotropy. Plastic deformation of the components of the composition is associated with piecewise linear yield criteria. The reinforcement structures of the disc web have meridional symmetry. A two-layer model of a curved disk with a plane-stress state in each of the fictitious composite layers is used. The discretized problem is solved using the simplex method of linear programming theory. The developed numerical algorithm has been verified. Examples of numerical calculation of the maximum angular velocity of rotation of flat, conical and spherical homogeneous and composite disks with different degrees of their curvature are analyzed. The cases of reinforcement of the disk web along geodetic directions and logarithmic spirals, as well as along meridional and circular trajectories, have been investigated. The comparison for disks of the same mass with the same consumption of reinforcement has been carried out. It has been shown that composite disks with a meridional-circumferential reinforcement structure have the highest load-bearing capacity. It has been demonstrated that even a slight axisymmetric curvature of the disk web leads to a sharp decrease in its load-bearing capacity compared to a similar flat structure.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2398 - 2419"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Study of Resistance to Impact Penetration of Auxetic Metamaterials at Various Angles of Rotation of Their Internal Cellular Structure 增塑型超材料内部细胞结构不同旋转角度抗冲击侵彻性能研究

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425602885

S. Yu. Ivanova, K. Yu. Osipenko, N. V. Banichuk, D. S. Lisovenko

{"title":"Study of Resistance to Impact Penetration of Auxetic Metamaterials at Various Angles of Rotation of Their Internal Cellular Structure","authors":"S. Yu. Ivanova, K. Yu. Osipenko, N. V. Banichuk, D. S. Lisovenko","doi":"10.1134/S0025654425602885","DOIUrl":"10.1134/S0025654425602885","url":null,"abstract":"The resistance of auxetic metamaterials based on a cell in the form of a concave hexagon (with a negative Poisson’s ratio) to penetration by a rigid spherical striker along the normal was experimentally studied. Samples of metamaterials with a chiral and non-chiral internal structure were made on a 3D printer from flexible thermoplastic polyurethane (TPU 95A plastic) and rigid e-PLA plastic. For all four types of metamaterials, samples were prepared whose internal structure differed in the rotation angle (0, 30, 60, or 90°) relative to the vertical axis. The samples were compared by their ability to reduce the kinetic energy of strikers at a speed of about 190 m/s at a temperature of 16°C. It was found that auxetics made of thermoplastic polyurethane with a non-chiral structure rotated by 90° are the most effective in terms of resistance to striker penetration. The dependence of the striker deviation on exit from the samples (up or down) on the direction of rotation of the internal structure of the sample at an angle from 0 to 90° clockwise or counterclockwise, respectively, was revealed.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2491 - 2503"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mechanics of Solids in Non-Orthogonal Space-Time 非正交时空中的固体力学

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425700013

V. V. Vasiliev, L. V. Fedorov

引用次数: 0

Modeling the Stability of a Cylindrical Hydrodynamic Suspension 圆柱流体动力悬架的稳定性建模

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425602447

D. K. Andreichenko, E. Yu. Krylova

{"title":"Modeling the Stability of a Cylindrical Hydrodynamic Suspension","authors":"D. K. Andreichenko, E. Yu. Krylova","doi":"10.1134/S0025654425602447","DOIUrl":"10.1134/S0025654425602447","url":null,"abstract":"A refined mathematical model of a cylindrical hydrodynamic suspension is proposed with full consideration of the dependence of the velocity distribution profile of the liquid on the radial coordinate in the supporting layer, which more fully takes into account the influence of viscous friction forces. On the basis of the proposed model, the stability of the suspension is investigated using the frequency criterion of stability of hybrid dynamic systems. A suspension with a light inner body, the reduced density of which is less than the density of the supporting layer, is asymptotically stable near the central position, and remains stable over a large range of changes in relative eccentricity. The use of a refined mathematical model leads to a greater margin of stability and a shorter transition time for suspension with a light inner body. An increase in the angular velocity of rotation of the outer cylinder leads to a significant decrease in the characteristic values of the displacements of the inner cylinder. In this case, a suspension with a light inner body has a large margin of stability and remains operational under significant external overloads. A suspension with a heavy inner body, the reduced density of which is greater than the density of the supporting layer, is unstable near the central position. When it is displaced from the central position along the curve of mobile equilibrium, a stability region may occur, but the stability margin of the suspension with a heavy internal body is insignificant.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2531 - 2541"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Convertion of Wave Modes upon Reflection at the Boundary between Elastic Half-Spaces 弹性半空间边界处反射波模的转换

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2025-10-08 DOI: 10.1134/S0025654425600278

A. I. Karakozova, S. V. Kuznetsov

引用次数: 0