{"title":"基于非局部连续介质理论的微管力学建模","authors":"O. Civalek, B. Akgöz","doi":"10.1109/BIYOMUT.2010.5479733","DOIUrl":null,"url":null,"abstract":"In the present study, a single elastic beam model based on nonlocal elasticity theory is presented for free vibration analysis of microtubules. The small scale effect is taken into consideration using the Eringen's nonlocal elasticity theory in conjunction with the different types of beam model such as Euler-Bernoulli, Timoshenko, Levinson and Reddy. Numerical results are given to show the size effect on vibration of microtubules.","PeriodicalId":180275,"journal":{"name":"2010 15th National Biomedical Engineering Meeting","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mechanical modeling of microtubules based on nonlocal continuum theory\",\"authors\":\"O. Civalek, B. Akgöz\",\"doi\":\"10.1109/BIYOMUT.2010.5479733\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present study, a single elastic beam model based on nonlocal elasticity theory is presented for free vibration analysis of microtubules. The small scale effect is taken into consideration using the Eringen's nonlocal elasticity theory in conjunction with the different types of beam model such as Euler-Bernoulli, Timoshenko, Levinson and Reddy. Numerical results are given to show the size effect on vibration of microtubules.\",\"PeriodicalId\":180275,\"journal\":{\"name\":\"2010 15th National Biomedical Engineering Meeting\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 15th National Biomedical Engineering Meeting\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/BIYOMUT.2010.5479733\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 15th National Biomedical Engineering Meeting","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/BIYOMUT.2010.5479733","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mechanical modeling of microtubules based on nonlocal continuum theory
In the present study, a single elastic beam model based on nonlocal elasticity theory is presented for free vibration analysis of microtubules. The small scale effect is taken into consideration using the Eringen's nonlocal elasticity theory in conjunction with the different types of beam model such as Euler-Bernoulli, Timoshenko, Levinson and Reddy. Numerical results are given to show the size effect on vibration of microtubules.
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