弹性基础梁高频振动的能量有限元分析

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-09-10 DOI:10.1016/j.jsv.2025.119454

Chenxi Xiong, Chi Xu, Amin Farrokhabadi, Christos Spitas, Jian Yang

{"title":"弹性基础梁高频振动的能量有限元分析","authors":"Chenxi Xiong, Chi Xu, Amin Farrokhabadi, Christos Spitas, Jian Yang","doi":"10.1016/j.jsv.2025.119454","DOIUrl":null,"url":null,"abstract":"<div><div>This paper develops an Energy Finite Element (EFE) model for analysing the high-frequency vibration of beams on elastic foundations. By introducing the potential energy density and energy intensity associated with the foundation reaction, the energy transmission and dissipation equations are derived. In addition, the point impedance at the excitation point of the beam on an elastic foundation is derived to calculate the input power. Both the Winkler and the Pasternak foundation models are considered. Combined with the energy transmission and dissipation equations and the input power, the governing equation for energy density is established. Based on this, an EFE model is constructed to predict the response of the beam on elastic foundation in the high-frequency range. The proposed model is validated by comparison with exact analytical solutions, demonstrating its effectiveness in predicting high-frequency responses. Finally, the influence of the elastic foundation on wave propagation characteristics, energy distribution, and total energy of the beam under high-frequency excitation is discussed. The results demonstrate that the elastic foundation has a significant impact on wave propagation, and the vibration energy of the beam. Both the foundation's normal stiffness and the shear stiffness have significant influence on the high-frequency vibration of the beam. It is shown that at 2000 Hz, changes of the foundation stiffness and shear stiffness in reasonable ranges can lead to up to 60 % and 40 % variations on the total energy of the beam. It is demonstrated that vibration energy in the structure can be effectively controlled by adjusting the elastic foundation properties.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"620 ","pages":"Article 119454"},"PeriodicalIF":4.9000,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"High frequency vibration analysis of beams on elastic foundation by a developed energy finite element method\",\"authors\":\"Chenxi Xiong, Chi Xu, Amin Farrokhabadi, Christos Spitas, Jian Yang\",\"doi\":\"10.1016/j.jsv.2025.119454\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper develops an Energy Finite Element (EFE) model for analysing the high-frequency vibration of beams on elastic foundations. By introducing the potential energy density and energy intensity associated with the foundation reaction, the energy transmission and dissipation equations are derived. In addition, the point impedance at the excitation point of the beam on an elastic foundation is derived to calculate the input power. Both the Winkler and the Pasternak foundation models are considered. Combined with the energy transmission and dissipation equations and the input power, the governing equation for energy density is established. Based on this, an EFE model is constructed to predict the response of the beam on elastic foundation in the high-frequency range. The proposed model is validated by comparison with exact analytical solutions, demonstrating its effectiveness in predicting high-frequency responses. Finally, the influence of the elastic foundation on wave propagation characteristics, energy distribution, and total energy of the beam under high-frequency excitation is discussed. The results demonstrate that the elastic foundation has a significant impact on wave propagation, and the vibration energy of the beam. Both the foundation's normal stiffness and the shear stiffness have significant influence on the high-frequency vibration of the beam. It is shown that at 2000 Hz, changes of the foundation stiffness and shear stiffness in reasonable ranges can lead to up to 60 % and 40 % variations on the total energy of the beam. It is demonstrated that vibration energy in the structure can be effectively controlled by adjusting the elastic foundation properties.</div></div>\",\"PeriodicalId\":17233,\"journal\":{\"name\":\"Journal of Sound and Vibration\",\"volume\":\"620 \",\"pages\":\"Article 119454\"},\"PeriodicalIF\":4.9000,\"publicationDate\":\"2025-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Sound and Vibration\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022460X25005279\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ACOUSTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X25005279","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}

引用次数: 0

摘要

本文建立了用于分析弹性地基梁高频振动的能量有限元模型。通过引入与地基反作用力相关的势能密度和能量强度，推导了能量传递和耗散方程。此外，还推导了弹性基础上梁激励点处的点阻抗来计算输入功率。温克勒和帕斯捷尔纳克基础模型都被考虑在内。结合能量传输和耗散方程和输入功率，建立了能量密度的控制方程。在此基础上，建立了弹性地基梁高频响应的EFE模型。通过与精确解析解的比较，验证了该模型在预测高频响应方面的有效性。最后，讨论了弹性地基对高频激励下梁的波传播特性、能量分布和总能量的影响。结果表明，弹性基础对波浪传播和梁的振动能量有显著影响。基础法向刚度和剪力刚度对梁的高频振动均有显著影响。结果表明，在2000hz时，基础刚度和剪切刚度在合理范围内的变化可导致梁的总能量变化高达60%和40%。结果表明，通过调整弹性地基特性，可以有效地控制结构中的振动能量。

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

High frequency vibration analysis of beams on elastic foundation by a developed energy finite element method

This paper develops an Energy Finite Element (EFE) model for analysing the high-frequency vibration of beams on elastic foundations. By introducing the potential energy density and energy intensity associated with the foundation reaction, the energy transmission and dissipation equations are derived. In addition, the point impedance at the excitation point of the beam on an elastic foundation is derived to calculate the input power. Both the Winkler and the Pasternak foundation models are considered. Combined with the energy transmission and dissipation equations and the input power, the governing equation for energy density is established. Based on this, an EFE model is constructed to predict the response of the beam on elastic foundation in the high-frequency range. The proposed model is validated by comparison with exact analytical solutions, demonstrating its effectiveness in predicting high-frequency responses. Finally, the influence of the elastic foundation on wave propagation characteristics, energy distribution, and total energy of the beam under high-frequency excitation is discussed. The results demonstrate that the elastic foundation has a significant impact on wave propagation, and the vibration energy of the beam. Both the foundation's normal stiffness and the shear stiffness have significant influence on the high-frequency vibration of the beam. It is shown that at 2000 Hz, changes of the foundation stiffness and shear stiffness in reasonable ranges can lead to up to 60 % and 40 % variations on the total energy of the beam. It is demonstrated that vibration energy in the structure can be effectively controlled by adjusting the elastic foundation properties.

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

Journal of Sound and Vibration 工程技术-工程：机械

CiteScore

9.10

自引率

10.60%

发文量

551

审稿时长

69 days

期刊介绍： The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.