用修正的线性切线定律计算强加速度时的相位约束

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-03-22 DOI:10.1134/S0025654424607043

S. A. Reshmin, M. T. Bektybaeva

{"title":"用修正的线性切线定律计算强加速度时的相位约束","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":0.6000,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0.6000,\"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}","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

摘要

本文考虑了在无外力作用下具有射流推力的惯性物体在垂直平面上运动时的运动。问题是在有限的时间内将物体转移到一个选择的直线水平轨道上，使终端速度最大化，避免超过给定的高度。在控制次数足够大的情况下，采用改进的推力方向控制线性切线律进行求解。此外，还进行了渐近分析。特别地，在高推力情况下得到了分析结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Accounting for Phase Constraints During Intensive Acceleration by Modified Linear Tangent Law

查看原文本刊更多论文

Accounting for Phase Constraints During Intensive Acceleration by Modified Linear Tangent Law

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

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.