{"title":"Use of complex notation for solving vibrations equations","authors":"Metin Gürgöze, A. Altınkaynak","doi":"10.1177/03064190241233685","DOIUrl":null,"url":null,"abstract":"Complex numbers and complex functions are frequently utilized in solving equations of motion in free and harmonic responses of vibration systems. However, certain fundamental details are sometimes overlooked and many books and articles may present differential equations with inconsistencies, which can confuse meticulous readers. This confusion often arises because one side of the equations is in real form, while the other side is expressed in complex form. To address this issue, the present article offers examples from literature to highlight the perplexing situation and provides a didactic methodology, aimed at enhancing clarity and ensuring that readers are left with a thorough understanding of the subject matter.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":"24 2","pages":""},"PeriodicalIF":17.7000,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/03064190241233685","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Complex numbers and complex functions are frequently utilized in solving equations of motion in free and harmonic responses of vibration systems. However, certain fundamental details are sometimes overlooked and many books and articles may present differential equations with inconsistencies, which can confuse meticulous readers. This confusion often arises because one side of the equations is in real form, while the other side is expressed in complex form. To address this issue, the present article offers examples from literature to highlight the perplexing situation and provides a didactic methodology, aimed at enhancing clarity and ensuring that readers are left with a thorough understanding of the subject matter.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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