Nidhi Gupta,
Rohit Singh Lather,
Deepak Kumar Bhalla,
- Research Scholar, Mechanical Engineering Department, Lingaya’s Vidyapeeth, Faridabad, Haryana, India
- Multidisciplinary, Engineering Department, The NorthCap University, Gurugram, Lingaya’s Vidyapeeth, Faridabad,, Haryana, India
- Director, Mechanical Engineering Department, Lingaya’s Vidyapeeth, Faridaad, Haryana, India
Abstract
In mechanical system analysis and design, symmetry is of mechanical systems. This article examines the idea of symmetry in mechanical systems, exploring its mathematical foundations (such as Lie algebras and group theory) and how these ideas help explain the behavior, stability, and control of the system. We explore the applications of symmetry in a range of mechanical systems, from basic mechanical connections to intricate multi-body dynamics, emphasizing the benefits of symmetry in terms of model simplification and equation of motion solution. Symmetry not only reduces computational complexity but also provides deep insights into conserved quantities through Noether’s theorem, aiding in energy-efficient designs and robust system responses. The article also discusses modern uses of symmetry principles in fields like vibration analysis, design optimization, and the creation of sophisticated mechanical devices like robots and aerospace systems. Case studies highlight how symmetry enables better prediction of system performance and fault tolerance. The report highlights the importance of symmetry in both research and industry by attempting to close the gap between theoretical understanding and useful engineering solutions through this thorough investigation.
Keywords: Symmetry in Mechanical Systems, Group Theory, Lie Algebras, Invariant Properties, Conservation Laws
[This article belongs to Emerging Trends in Symmetry ]
Nidhi Gupta, Rohit Singh Lather, Deepak Kumar Bhalla. Research Paper A Review of Symmetry in Mechanical Systems: Theoretical Systems Foundations and Engineering Applications. Emerging Trends in Symmetry. 2025; 01(01):15-19.
Nidhi Gupta, Rohit Singh Lather, Deepak Kumar Bhalla. Research Paper A Review of Symmetry in Mechanical Systems: Theoretical Systems Foundations and Engineering Applications. Emerging Trends in Symmetry. 2025; 01(01):15-19. Available from: https://journals.stmjournals.com/etsy/article=2025/view=208530
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| Volume | 01 |
| Issue | 01 |
| Received | 14/09/2024 |
| Accepted | 29/11/2024 |
| Published | 22/04/2025 |
| Publication Time | 220 Days |
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