|
|
|
| Explicit Expression of Load Transferred Law Inside Structure Based on Semi-Analytic Finite Element Method |
| WANG Zhaohua1,LIAN Hui2,WU Fenghe2,HUANG Bingxiao3,YANG Chenglong2,SUN Yingbing2,WANG Chaoshi2 |
1. School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, China
2. School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
3. School of Astronautics, Northwestern Polytechnical University, Xi′an, Shaanxi 710072, China |
|
|
|
|
Abstract Aiming at the problem of quantitative expression of load transferred law inside a given structure, a visualization method of load transferred law based on semi-analytical finite element method is proposed. The basic principle of calculating the load transferred amount in the local area is defined. Based on the semi-analytic finite element method, the mathematical expression of the load transferred calculation is derived. The continuous removal and recovery of local materials in the structure is simulated by using the element life and death technology. And the visualization process of load transferred law is given through secondary development. Taking rectangular cantilever plate, plate with hole, three-point bending plate and bending beam as examples, the load transferred law inside the structure are calculated respectively. The quantitative expression of the load transferred law not only gives the size of the load transferred in local region, but also gives the direction of the load.
|
|
Received: 22 January 2023
Published: 05 September 2024
|
|
|
|
|
|
| ［2］ |
伍开宇, 朱海清, 沈晓东, 等. 基于机器视觉的指针式压力表智能检定系统研究 ［J］. 计量学报, 2022, 43(11): 1450-1455.
|
| ［16］ |
吴凤和, 王朝华, 黄冰潇, 等. 基于单元生死技术的弹性结构承载力可视化方法 ［EB］. 中国科技论文在线, 2017, http://www.paper.edu.cn/releasepaper/content/2017-12-21.
|
| ［5］ |
张智敏, 胡刚, 张跃, 等. 100kN·m静重式扭矩标准装置 ［J］. 计量学报, 2022, 43(10): 1245-1249.
|
| ［12］ |
王朝华. 铝合金轮毂结构轻量化设计关键技术研究 ［D］. 秦皇岛: 燕山大学, 2021.
|
| ［7］ |
KELLY D W, TOSH M W. Interpreting load paths and stress trajectories in elasticity ［J］. Engineering Computations, 2000, 17: 117-135.
|
| ［1］ |
王朝华, 吴凤和, 郭保苏. 基于传力路径分析的结构承载性能评价与优化 ［J］. 制造技术与机床, 2021(9): 38-42.
|
|
WANG Z H, WU F H, GUO B S. Evaluation and optimization of structural load-bearing performance based on load path analysis ［J］. Manufacturing Technology & Machine Tool, 2021(9): 38-42.
|
|
WU K Y, ZHU H Q, SHEN X D, et al. Research on intelligent verification system of pointer pressure meter based on machine vision ［J］. Acta Metrologica Sinica, 2022, 43(11): 1450-1455.
|
|
ZHANG X F, ZHANG F Y, LI K, et al. Optimization of leaf-spring-type recovery mechanism for low-frequency standard vibrator based on genetic algorithm ［J］. Acta Metrologica Sinica, 2021, 42(11): 1459-1465.
|
| ［9］ |
陈磊, 金海波. 结构传力路径的量化模型研究 ［J］. 机械科学与技术, 2012, 31(3): 487-497.
|
| ［15］ |
余旭东, 秦荣, 沈海. 基于半解析有限元法的多层复合环面周向导波计算 ［J］. 同济大学学报(自然科学版), 2022, 50(11): 1567-1577.
|
| ［3］ |
张旭飞, 张锋阳, 李凯, 等. 基于遗传算法的低频标准振动台簧片式回复结构优化 ［J］. 计量学报, 2021, 42(11): 1459-1465.
|
| ［4］ |
WANG Z H, WANG Q G, WU N, et al. Structural improvement of vehicle component based on the load path and load distribution analysis ［J］. International Journal of Automotive Technology, 2021. 22: 787-798.
|
|
ZHANG Z M, HU G, ZHANG Y, et al. 100 kN·m deadweight torque standard machine ［J］. Acta Metrologica Sinica, 2022, 43(10): 1245-1249.
|
|
WU F H, ZHANG N, LI Y X, et al. Research on calibration technology of force measuring tool holder system ［J］. Acta Metrologica Sinica, 2021, 42(6): 765-773.
|
|
CHEN L, JIN H B. The study on quantitative model of force transfer path of structure ［J］. Mechanical Science and Technology for Aerospace Engineering, 2012, 31(3): 487-497.
|
| ［11］ |
TAKAHASHI K, OMIYA M, ISO T, et al. Load transfer Ustar (U*) calculation in structures under dynamic loading ［J］. Transactions of the Japan Society of Mechanical Engineers, 2013, 79: 1657-1668.
|
| ［13］ |
WANG Z H, ZHANG T Q, ZHANG Y, et al. Shape optimization method for wheel rim of automobile wheels based on load path analysis ［J］. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, 2023, 237(2): 267-280.
|
| ［6］ |
吴凤和, 张宁, 李元祥, 等. 测力刀柄系统标定技术研究 ［J］. 计量学报, 2021, 42(6): 765-773.
|
| ［8］ |
HARASAKI H, ARORA J S. New concepts of transferred and potential transferred forces in structures ［J］. Computer Methods in Applied Mechanics & Engineering, 2001, 191(3): 385-406.
|
| ［14］ |
MARHADI K, VENKATARAMAN S. Comparison of load path definitions in 2-D continuum structures ［C］//AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference. California, America, 2013.
|
| ［10］ |
KELLY D W, HSU P, ASUDULLAH M. Load paths and load flow in finite element analysis ［J］. Engineering Computations, 2001, 18(1,2): 304-313.
|
|
YU X D, QIN R, SHEN H. Computation of circumferential guided ultrasonic waves in multilayered composite annuli using semi-analytical finite element method ［J］. Journal of Tongji University (Natural Science), 2022, 50(11): 1567-1577.
|
|
|
|
2024, Vol. 45 
