变弯曲刚度悬臂杆的动力学研究

IF 0.3 Q4 MATHEMATICS

Vestnik KazNU Seriia matematika mekhanika informatika Pub Date : 2023-09-01 DOI:10.26577/jmmcs2023v119i3a7

O. Khabidolda

{"title":"变弯曲刚度悬臂杆的动力学研究","authors":"O. Khabidolda","doi":"10.26577/jmmcs2023v119i3a7","DOIUrl":null,"url":null,"abstract":"In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropiccantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the ﬁnitediﬀerence method has been applied using a regular one-dimensional (linear) grid. The ﬁnite-diﬀerence equations developed by the authors for point-distributed masses along the length ofthe wedge are presented, taking into account the linearly variable bending stiﬀness. On this basis,the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamicforces and deﬂections) in the resonant and near-resonant regions have been obtained. The contentof theoretical provisions and applied results can be widely used in the scientiﬁc and engineeringﬁelds and in the ﬁeld of mechanics of structures.","PeriodicalId":53167,"journal":{"name":"Vestnik KazNU Seriia matematika mekhanika informatika","volume":"35 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"STUDYING DYNAMICS OF A CANTILEVER BAR WITH VARIABLE BENDING STIFFNESS\",\"authors\":\"O. Khabidolda\",\"doi\":\"10.26577/jmmcs2023v119i3a7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropiccantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the ﬁnitediﬀerence method has been applied using a regular one-dimensional (linear) grid. The ﬁnite-diﬀerence equations developed by the authors for point-distributed masses along the length ofthe wedge are presented, taking into account the linearly variable bending stiﬀness. On this basis,the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamicforces and deﬂections) in the resonant and near-resonant regions have been obtained. The contentof theoretical provisions and applied results can be widely used in the scientiﬁc and engineeringﬁelds and in the ﬁeld of mechanics of structures.\",\"PeriodicalId\":53167,\"journal\":{\"name\":\"Vestnik KazNU Seriia matematika mekhanika informatika\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik KazNU Seriia matematika mekhanika informatika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26577/jmmcs2023v119i3a7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik KazNU Seriia matematika mekhanika informatika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26577/jmmcs2023v119i3a7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了各向同性悬臂板在等腰三角形(楔形)形式下的动态过程(自由振动和强迫振动)。在研究中，有限差分法已应用于一个规则的一维(线性)网格。给出了考虑线性变弯刚度的沿楔长点分布质量的有限差分方程。在此基础上，得到了共振区和近共振区幅频特性(频率、动力和挠度)的研究结果。理论规定的内容和应用结果可以广泛应用于科学和工程领域以及结构力学领域。

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

STUDYING DYNAMICS OF A CANTILEVER BAR WITH VARIABLE BENDING STIFFNESS

In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropiccantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the ﬁnitediﬀerence method has been applied using a regular one-dimensional (linear) grid. The ﬁnite-diﬀerence equations developed by the authors for point-distributed masses along the length ofthe wedge are presented, taking into account the linearly variable bending stiﬀness. On this basis,the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamicforces and deﬂections) in the resonant and near-resonant regions have been obtained. The contentof theoretical provisions and applied results can be widely used in the scientiﬁc and engineeringﬁelds and in the ﬁeld of mechanics of structures.

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

Vestnik KazNU Seriia matematika mekhanika informatika

CiteScore

0.40

自引率

0.00%

发文量

审稿时长

10 weeks