{"title":"Accounting for Phase Constraints During Intensive Acceleration by Modified Linear Tangent Law","authors":"S. A. Reshmin, M. T. Bektybaeva","doi":"10.1134/S0025654424607043","DOIUrl":null,"url":null,"abstract":"<p>The article considers the motion of an inertial object with jet thrust in the absence of external forces while moving in a vertical plane. The problem is to transfer the object in a finite time to a chosen rectilinear horizontal trajectory with maximizing the terminal velocity, avoiding overshooting a given height. For the sufficiently large control times, the problem was solved by using the modified linear tangent law of the thrust direction control. Additionally, an asymptotic analysis was carried out. In particular, analytical results are obtained in the case of high thrust.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 8","pages":"3913 - 3928"},"PeriodicalIF":0.9000,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424607043","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The article considers the motion of an inertial object with jet thrust in the absence of external forces while moving in a vertical plane. The problem is to transfer the object in a finite time to a chosen rectilinear horizontal trajectory with maximizing the terminal velocity, avoiding overshooting a given height. For the sufficiently large control times, the problem was solved by using the modified linear tangent law of the thrust direction control. Additionally, an asymptotic analysis was carried out. In particular, analytical results are obtained in the case of high thrust.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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