Research Article
A Numerical Implementation of Linear Matching Method for the Limit Analysis
Jun-Hyok Ri*
,
Hyon-Sik Hong,
Yong-Chol Kim,
Jin-Chol Ri
Issue:
Volume 12, Issue 2, June 2025
Pages:
22-32
Received:
26 February 2025
Accepted:
3 April 2025
Published:
9 May 2025
Abstract: ANSYS UserMat and its corresponding special MACRO are developed for implementing the linear matching method (LMM) for the limit analysis by using ANSYS. By this, pre and post-processing for the limit analysis can be done in the sole ANSYS circumstance without a help of any additional programs. Once user creates the FE model and enters the parameters for the LMM analysis by using ANSYS interface, ANSYS then will evaluate the upper and lower bound of limit load automatically. In order to overcome the drawback of LMM which does not give the reliable lower bound of limit load, the elastic compensation method (ECM) for the computation of lower bound of limit load is combined with the LMM so that the converged upper and lower bound of limit load is obtained, respectively. Moreover, a simple method is proposed in order to overcome the numerical difficulty of LMM due to the high gradient of stress state. Some numerical examples were given to validate the proposed method and the corresponding computational system and the reliable stability was shown, as expected.
Abstract: ANSYS UserMat and its corresponding special MACRO are developed for implementing the linear matching method (LMM) for the limit analysis by using ANSYS. By this, pre and post-processing for the limit analysis can be done in the sole ANSYS circumstance without a help of any additional programs. Once user creates the FE model and enters the parameter...
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Research Article
Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element
Issue:
Volume 12, Issue 2, June 2025
Pages:
33-39
Received:
18 April 2025
Accepted:
27 April 2025
Published:
29 May 2025
DOI:
10.11648/j.ajma.20251202.12
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Views:
Abstract: This paper presents a theoretical analysis of the forces acting on a helical gear transmission with an elastic element. The research investigates the effects of elastic deformation on the load distribution within the gear system, focusing on the influence of the elastic component on axial, radial, and tangential forces. The study employs mathematical models that account for the complex interactions between the helical gears and the elastic element, aiming to optimize the force transmission and enhance the system’s efficiency. Key findings reveal that introducing an elastic element in the helical gear transmission can significantly reduce impact loads, leading to improved durability and operational lifespan of the system. Additionally, the research identifies optimal ranges for the stiffness coefficient of the elastic component, ensuring effective load amortization and minimizing the risk of excessive wear or failure. The proposed model provides a comprehensive understanding of how elastic deformation influences the performance of helical gear systems, particularly under varying loads and operational conditions. The results presented offer valuable insights for the design and optimization of gear mechanisms in engineering applications where durability and efficiency are critical. These findings contribute to the broader field of mechanical transmission systems, particularly in applications where gear longevity and reliability are essential.
Abstract: This paper presents a theoretical analysis of the forces acting on a helical gear transmission with an elastic element. The research investigates the effects of elastic deformation on the load distribution within the gear system, focusing on the influence of the elastic component on axial, radial, and tangential forces. The study employs mathematic...
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