求解具有非理性恢复力的非线性振子的能量平衡法

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.918530

M. H. U. Molla, Nazmul Sharif

{"title":"求解具有非理性恢复力的非线性振子的能量平衡法","authors":"M. H. U. Molla, Nazmul Sharif","doi":"10.12988/ams.2023.918530","DOIUrl":null,"url":null,"abstract":"In this study, an extended energy balance method for solving nonlinear oscillators with non-rational restoring force has been presented. The classical energy balance methods cannot apply to solve nonlinear oscillators with non-rational restoring force. To overcome this difficulty, a laborious study is to be conducted to determine the solution technique that provides better results as well as requires minimum computational efforts. An example of complicated nonlinear oscillator with non-rational restoring force arising in the field of engineering and other disciplines has been provided. The accuracy of the approximate results has been compared with other existing results.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"20 1","pages":"0"},"PeriodicalIF":3.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Energy balance method for solving nonlinear oscillators with non-rational restoring force\",\"authors\":\"M. H. U. Molla, Nazmul Sharif\",\"doi\":\"10.12988/ams.2023.918530\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, an extended energy balance method for solving nonlinear oscillators with non-rational restoring force has been presented. The classical energy balance methods cannot apply to solve nonlinear oscillators with non-rational restoring force. To overcome this difficulty, a laborious study is to be conducted to determine the solution technique that provides better results as well as requires minimum computational efforts. An example of complicated nonlinear oscillator with non-rational restoring force arising in the field of engineering and other disciplines has been provided. The accuracy of the approximate results has been compared with other existing results.\",\"PeriodicalId\":49860,\"journal\":{\"name\":\"Mathematical Models & Methods in Applied Sciences\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Models & Methods in Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/ams.2023.918530\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Models & Methods in Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ams.2023.918530","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

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

Energy balance method for solving nonlinear oscillators with non-rational restoring force

In this study, an extended energy balance method for solving nonlinear oscillators with non-rational restoring force has been presented. The classical energy balance methods cannot apply to solve nonlinear oscillators with non-rational restoring force. To overcome this difficulty, a laborious study is to be conducted to determine the solution technique that provides better results as well as requires minimum computational efforts. An example of complicated nonlinear oscillator with non-rational restoring force arising in the field of engineering and other disciplines has been provided. The accuracy of the approximate results has been compared with other existing results.

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

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

期刊介绍： The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. The principal areas of interest of this journal are the following: 1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. Special attention will be paid to the analysis of nonlinearities and stochastic aspects. Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents. Book reviews, announcements and tutorial articles will be featured occasionally.