A unified optimization design method for multi-stage non-circular gear transmission based on periodic B-spline interpolation

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Advances in Engineering Software Pub Date : 2024-08-28 DOI:10.1016/j.advengsoft.2024.103760

Meng Ao , Gaohong Yu , Lei Wang , Liang Sun , Yuanhao Ren

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Abstract

This research introduces a novel and unified optimization design method for multi-stage non-circular gear transmission (MNCGT) to address the challenges in designing MNCGT for complex motion requirements. The method optimizes non-circular gears comprehensively, reducing design and manufacturing difficulties while ensuring the realization of specified transmission requirements. A unified parameterization method, grounded on periodic B-spline interpolation, is introduced to establish the transmission function of non-circular gears and map it to a finite unified variable space. This innovative approach effectively reduces the difficulty and constraints of MNCGT optimization design. The proposed method takes into account crucial factors such as non-circularity, smoothness, processing conditions, and contact ratio, which significantly impact the transmission performance and manufacturing feasibility of non-circular gears. The effectiveness and superiority of this method are demonstrated through two practical examples and a real-world application in a planetary gear transplant mechanism, highlighting its potential for solving complex engineering problems.

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基于周期 B-样条插值的多级非圆齿轮传动统一优化设计方法

本研究介绍了一种新颖、统一的多级非圆齿轮传动（MNCGT）优化设计方法，以解决复杂运动要求下的 MNCGT 设计难题。该方法对非圆齿轮进行了全面优化，降低了设计和制造难度，同时确保实现特定的传动要求。该方法以周期 B-样条插值为基础，采用统一的参数化方法建立非圆齿轮的传动函数，并将其映射到有限的统一变量空间。这一创新方法有效降低了 MNCGT 优化设计的难度和约束。所提出的方法考虑了非圆度、光滑度、加工条件和接触比等关键因素，这些因素对非圆齿轮的传动性能和制造可行性产生了重大影响。该方法通过两个实际例子和在行星齿轮移植机构中的实际应用证明了其有效性和优越性，突出了其解决复杂工程问题的潜力。

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来源期刊

Advances in Engineering Software 工程技术-计算机：跨学科应用

CiteScore

7.70

自引率

4.20%

发文量

169

审稿时长

37 days

期刊介绍： The objective of this journal is to communicate recent and projected advances in computer-based engineering techniques. The fields covered include mechanical, aerospace, civil and environmental engineering, with an emphasis on research and development leading to practical problem-solving. The scope of the journal includes: • Innovative computational strategies and numerical algorithms for large-scale engineering problems • Analysis and simulation techniques and systems • Model and mesh generation • Control of the accuracy, stability and efficiency of computational process • Exploitation of new computing environments (eg distributed hetergeneous and collaborative computing) • Advanced visualization techniques, virtual environments and prototyping • Applications of AI, knowledge-based systems, computational intelligence, including fuzzy logic, neural networks and evolutionary computations • Application of object-oriented technology to engineering problems • Intelligent human computer interfaces • Design automation, multidisciplinary design and optimization • CAD, CAE and integrated process and product development systems • Quality and reliability.