含区间参数结构时响应及固有频率分析

MATEC Web of Conferences Pub Date : 2023-01-01 DOI:10.1051/matecconf/202338201024

Xingxing Feng, Chang Cao, Min Liu

{"title":"含区间参数结构时响应及固有频率分析","authors":"Xingxing Feng, Chang Cao, Min Liu","doi":"10.1051/matecconf/202338201024","DOIUrl":null,"url":null,"abstract":"This paper deals with the evaluations of lower and upper bounds of dynamic responses and natural frequencies for structures with uncertain interval parameters. The structural physical parameters, geometric dimensions and initial conditions can be considered as interval parameters. The modified Chebyshev interval method (MCIM) is presented to handle the uncertainties. In comparison with the Chebyshev interval method (CIM), MICM provides with tighter bounds of the time responses and natural frequencies without a significant increase in computation time. Monte Carlo method is also used to provide with exact bounds. MICM, CIM and Monte Carlo method are applied for structures with interval parameters, and the efficiency and accuracy of CIM and MCIM are verified.","PeriodicalId":18309,"journal":{"name":"MATEC Web of Conferences","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time Response and Natural Frequency Analysis for Structures with Interval Parameters\",\"authors\":\"Xingxing Feng, Chang Cao, Min Liu\",\"doi\":\"10.1051/matecconf/202338201024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the evaluations of lower and upper bounds of dynamic responses and natural frequencies for structures with uncertain interval parameters. The structural physical parameters, geometric dimensions and initial conditions can be considered as interval parameters. The modified Chebyshev interval method (MCIM) is presented to handle the uncertainties. In comparison with the Chebyshev interval method (CIM), MICM provides with tighter bounds of the time responses and natural frequencies without a significant increase in computation time. Monte Carlo method is also used to provide with exact bounds. MICM, CIM and Monte Carlo method are applied for structures with interval parameters, and the efficiency and accuracy of CIM and MCIM are verified.\",\"PeriodicalId\":18309,\"journal\":{\"name\":\"MATEC Web of Conferences\",\"volume\":\"15 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"MATEC Web of Conferences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1051/matecconf/202338201024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"MATEC Web of Conferences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/matecconf/202338201024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

研究了区间参数不确定结构的动力响应和固有频率的下界和上界的求值问题。结构物理参数、几何尺寸和初始条件可视为区间参数。提出了改进的切比雪夫区间法(MCIM)来处理不确定性。与Chebyshev区间方法(CIM)相比，MICM在不显著增加计算时间的情况下提供了更严格的时间响应和固有频率边界。蒙特卡罗方法也被用来提供精确的边界。将MICM、CIM和蒙特卡罗方法应用于区间参数结构，验证了CIM和MCIM方法的有效性和准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Time Response and Natural Frequency Analysis for Structures with Interval Parameters

This paper deals with the evaluations of lower and upper bounds of dynamic responses and natural frequencies for structures with uncertain interval parameters. The structural physical parameters, geometric dimensions and initial conditions can be considered as interval parameters. The modified Chebyshev interval method (MCIM) is presented to handle the uncertainties. In comparison with the Chebyshev interval method (CIM), MICM provides with tighter bounds of the time responses and natural frequencies without a significant increase in computation time. Monte Carlo method is also used to provide with exact bounds. MICM, CIM and Monte Carlo method are applied for structures with interval parameters, and the efficiency and accuracy of CIM and MCIM are verified.

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

MATEC Web of Conferences

自引率

0.00%

发文量

342

审稿时长

6 weeks

期刊介绍： MATEC Web of Conferences is an Open Access publication series dedicated to archiving conference proceedings dealing with all fundamental and applied research aspects related to Materials science, Engineering and Chemistry. All engineering disciplines are covered by the aims and scope of the journal: civil, naval, mechanical, chemical, and electrical engineering as well as nanotechnology and metrology. The journal concerns also all materials in regard to their physical-chemical characterization, implementation, resistance in their environment… Other subdisciples of chemistry, such as analytical chemistry, petrochemistry, organic chemistry…, and even pharmacology, are also welcome. MATEC Web of Conferences offers a wide range of services from the organization of the submission of conference proceedings to the worldwide dissemination of the conference papers. It provides an efficient archiving solution, ensuring maximum exposure and wide indexing of scientific conference proceedings. Proceedings are published under the scientific responsibility of the conference editors.