Journal of Sound and Vibration最新文献_第7页

Chatter stability analysis for non-circular high-speed grinding process with dynamic force modelling 利用动态力建模对非圆高速磨削过程进行颤振稳定性分析

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-22 DOI: 10.1016/j.jsv.2024.118782

Tao Liu , Wenyao Li , Zhaohui Deng , Qishui Yao , Jiachang Tang , Jiaying Yan , Hongjun Kang

{"title":"Chatter stability analysis for non-circular high-speed grinding process with dynamic force modelling","authors":"Tao Liu , Wenyao Li , Zhaohui Deng , Qishui Yao , Jiachang Tang , Jiaying Yan , Hongjun Kang","doi":"10.1016/j.jsv.2024.118782","DOIUrl":"10.1016/j.jsv.2024.118782","url":null,"abstract":"<div><div>To avoid instability and resulting chatter during the non-circular grinding process, it is necessary to elucidate the potential occurrence of periodic chatter behavior when high-speed grinding loses stability and to define the stability boundary of the grinding system. Building upon an analysis of the geometric kinematic characteristics of non-circular profiled components, a dynamic grinding force model for non-circular high-speed grinding was derived by considering both the delay effect and the elastic yielding mechanism between the grinding wheel and workpiece. Then, A multi-factor coupled dynamic model of non-circular grinding was established. By employing a multi-scale approach, bifurcation analysis and classification of the instability process in the grinding system were conducted, using a typical non-circular profiled shaft component, such as a camshaft, for theoretical analysis and experimental validation. The research determined the stability boundary of the high-speed grinding process for non-circular profile components, validated the possibility of the existence of a conditionally stable chatter region in the non-circular high-speed grinding process, and identified differences in grinding chatter characteristics among different segments of the cam profile, with a greater propensity for chatter at the juncture of the cam fall and base circle.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"595 ","pages":"Article 118782"},"PeriodicalIF":4.3,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142571595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method 使用节点非连续伽勒金方法的三维波方程稳定解耦完全匹配层

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-22 DOI: 10.1016/j.jsv.2024.118779

Sophia Julia Feriani , Matthias Cosnefroy , Allan Peter Engsig-Karup , Tim Warburton , Finnur Pind , Cheol-Ho Jeong

{"title":"A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method","authors":"Sophia Julia Feriani , Matthias Cosnefroy , Allan Peter Engsig-Karup , Tim Warburton , Finnur Pind , Cheol-Ho Jeong","doi":"10.1016/j.jsv.2024.118779","DOIUrl":"10.1016/j.jsv.2024.118779","url":null,"abstract":"<div><div>In outdoor acoustics, the calculations of sound propagating in air can be computationally heavy if the domain is chosen large enough for the sound waves to decay. The computational cost is lowered by strategically truncating the computational domain with an efficient boundary treatment. One commonly used boundary treatment is the perfectly matched layer (PML), which dampens outgoing waves without polluting the computed solution in the inner domain. The purpose of this study is to propose and assess a new perfectly matched layer formulation for the 3D acoustic wave equation, using the nodal discontinuous Galerkin finite element method. The formulation is based on an efficient PML formulation that can be decoupled to further increase the computational efficiency and guarantee stability without sacrificing accuracy. This decoupled PML formulation is demonstrated to be long-time stable, and an optimization procedure for the damping functions is proposed to enhance the performance of the formulation.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"595 ","pages":"Article 118779"},"PeriodicalIF":4.3,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142551888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical analysis of energy dissipation due to eddy currents in a vibrating beam 振动梁中涡流引起的能量耗散数值分析

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-22 DOI: 10.1016/j.jsv.2024.118787

Mikel Brun, Fernando Cortés, María Jesús Elejabarrieta

{"title":"Numerical analysis of energy dissipation due to eddy currents in a vibrating beam","authors":"Mikel Brun, Fernando Cortés, María Jesús Elejabarrieta","doi":"10.1016/j.jsv.2024.118787","DOIUrl":"10.1016/j.jsv.2024.118787","url":null,"abstract":"<div><div>Vibration attenuation is a key aspect of mechanical engineering. One method to achieve this is through eddy currents, which can be generated in a vibrating system when a magnetic field is present, creating forces that oppose motion. This study examines a mechanical system consisting of a thin cantilever beam vibrating in a uniform and time-invariant magnetic field under steady-state conditions to understand the nature of energy dissipation and the relationship between motion, eddy currents, and damping forces. The calculation of eddy currents generally requires the use of complex numerical procedures. However, for systems with simple geometry, such as a cantilever beam, a recent numerical procedure based on the finite difference method, known for its simplicity in implementation, has been adapted and expanded to determine eddy currents under motional induction. A numerical application has been developed in which the vibration of a specific beam is characterised by its bending or torsional mode shapes, and the nature of the corresponding dissipative forces is analysed. Results indicate that the eddy currents are an effective means of dissipating energy at lower-order modes. Additionally, the direction of the applied magnetic field can induce coupling between bending and torsional vibrations.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"595 ","pages":"Article 118787"},"PeriodicalIF":4.3,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142551887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An experimental study on three-port measurements for acoustic characterisation of the perforate reactance 三端口测量穿孔反应声学特性的实验研究

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-22 DOI: 10.1016/j.jsv.2024.118776

Shail A. Shah, Hans Bodén, Susann Boij

{"title":"An experimental study on three-port measurements for acoustic characterisation of the perforate reactance","authors":"Shail A. Shah, Hans Bodén, Susann Boij","doi":"10.1016/j.jsv.2024.118776","DOIUrl":"10.1016/j.jsv.2024.118776","url":null,"abstract":"<div><div>The usage of perforated plates in passive noise-control systems in e.g. aircraft liners and mufflers involves the standard operating conditions of grazing flow and high-amplitude acoustic incidence. This study focuses on the usage of the three-port experiment technique for the experimental passive acoustic characterisation of a perforated plate. Expanding on the previous paper about the resistance of the perforate, the influence of operating conditions on the imaginary part of the transfer impedance, i.e., the reactance is discussed here. The relationship between the end correction in the linear range, without the presence of grazing flow, and the frequency of acoustic excitation is demonstrated. The reduction in the value of the mass end correction under the individual effects of grazing flow, and high-amplitude excitation is presented. Additionally, depending on the excitation wavelength, the partial recovery of the reduced value of the end correction under simultaneous exposure is also shown. Using the experimental results, models for the end correction, and by extension the reactance are proposed. These models take into account the geometrical parameters of the perforate, and the dimensionless Mach, Shear and Strouhal numbers.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"596 ","pages":"Article 118776"},"PeriodicalIF":4.3,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142571726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Methodology for the automated selection of time-frequency representations 自动选择时频表示方法

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-22 DOI: 10.1016/j.jsv.2024.118788

Nathaniel DeVol , Christopher Saldaña , Katherine Fu

{"title":"Methodology for the automated selection of time-frequency representations","authors":"Nathaniel DeVol , Christopher Saldaña , Katherine Fu","doi":"10.1016/j.jsv.2024.118788","DOIUrl":"10.1016/j.jsv.2024.118788","url":null,"abstract":"<div><div>Data preprocessing is a key step in extracting useful information from sound and vibration data and often involves selecting a time-frequency representation. No single time-frequency representation is always optimal, and no standard method exists for selecting the appropriate time-frequency representation, so selecting the time-frequency representation requires expert knowledge and is susceptible to human bias. To address this, this work introduces a methodology to automate the selection of a time-frequency representation for a dataset using only a subset of the healthy, or normal, class of data. To select the parameters for each type of time-frequency representation, Bayesian optimization is used. With a candidate from each type of time-frequency representation, the average similarity is used to select the final candidate. Additionally, the use of multiple time-frequency representations within a single model is explored. Because there is currently no objective method to compare the selected time frequency representations against, the proposed methodology is evaluated in two case studies. In the case studies, the time frequency representations are used as inputs to a simple convolutional neural network that achieved 100% accuracy in classifying bearing faults and 94% accuracy in classifying the contact tip to workpiece distance in wire arc additive manufacturing. Additionally, the proposed methodology presents a 75% and 94% reduction in the data size for the two case studies. This offers further benefits for reducing costs of data transmission and storage in modern digital manufacturing architectures.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"596 ","pages":"Article 118788"},"PeriodicalIF":4.3,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142553302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Noise-robust automated sudden damage detection using blind source separation enhanced by variational mode decomposition and support vector machine based on shapelet transform 利用基于小形变换的变分模式分解和支持向量机增强盲源分离，实现噪声可靠的突发性损伤自动检测

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-19 DOI: 10.1016/j.jsv.2024.118783

Wei Shen , Yuguang Fu , Qingzhao Kong , Jin-Yang Li

{"title":"Noise-robust automated sudden damage detection using blind source separation enhanced by variational mode decomposition and support vector machine based on shapelet transform","authors":"Wei Shen , Yuguang Fu , Qingzhao Kong , Jin-Yang Li","doi":"10.1016/j.jsv.2024.118783","DOIUrl":"10.1016/j.jsv.2024.118783","url":null,"abstract":"<div><div>Compared to parametric counterparts, non-parametric (aka, model-free) damage detection methods have no requirements of accurate models, with the potential of autonomous monitoring of various complex structures. However, noises, or low signal-to-noise ratio (SNR), are one of the main challenges. This study is aimed at improving blind source separation (BSS)-based damage detection method, one of the most advanced non-parametric methods, in both aspects of noise robustness and autonomous operation. In particular, the measured acceleration responses are processed by variational mode decomposition (VMD) and wavelet transform (WT) in sequential, acting as the input for a BSS model. The BSS is then solved by independent component analysis (ICA), which approves to be more noise-robust compared to the state-of-the-art counterparts. Furthermore, shapelet transform is applied to extract the universal shape-based spike-like feature from the BSS model for training a support vector machine (SVM) model, applicable to different structures; it finally automates the sudden damage detection process and enables online monitoring. The effectiveness of the proposed method is illustrated by a numerical example and an experimental test, and demonstrated by a real-world seismic-excited structure. The results show that both single and multiple sudden damages can be automatically detected with high accuracy. Compared with the existing BSS methods, the proposed BSS method is more capable to detect small damages at relatively low SNR. In addition, the classification accuracy of SVM is also improved when shapelet-based feature is used for training, which reduces the malfunction of automated damage detection as shown by the numerical example. Therefore, the proposed strategy has the potential for rapid condition assessment of structures during rare/extreme events, before engineers are sent for further post-event inspection.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"595 ","pages":"Article 118783"},"PeriodicalIF":4.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142571596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Physics-informed machine learning approach for reduced-order modeling of integrally bladed rotors: Theory and application 用于整体叶片转子降阶建模的物理信息机器学习方法：理论与应用

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-19 DOI: 10.1016/j.jsv.2024.118773

Sean T. Kelly, Bogdan I. Epureanu

{"title":"Physics-informed machine learning approach for reduced-order modeling of integrally bladed rotors: Theory and application","authors":"Sean T. Kelly, Bogdan I. Epureanu","doi":"10.1016/j.jsv.2024.118773","DOIUrl":"10.1016/j.jsv.2024.118773","url":null,"abstract":"<div><div>Integrally bladed rotors are commonly used in aircraft and rocket turbomachinery and known to exhibit complex dynamics when subject to operational loading conditions. Though nominally cyclic-symmetric structures, in practice, cyclic symmetry is destroyed due to mistuning caused by random sector-to-sector imperfections in material properties and geometry. Simulating mistuned blisk dynamics using high-fidelity models can be computationally expensive, thus, a variety of physics-based reduced-order models have been previously developed. However, these models cannot easily incorporate experimental data nor leverage potential benefits of data-driven and machine-learning-based approaches. Here, we present a novel first-of-its-kind physics-informed machine learning modeling approach that incorporates physical laws directly into a novel network architecture while maintaining a sector-level viewpoint. The approach is combined with an assembly procedure resulting in a significantly smaller linear system based on blade-alone response data, and can directly incorporate physical response data like that measured with blade tip timing and/or traveling-wave excitation. Validation is shown using a large-scale finite-element model, with multiple traveling-wave forced-response predictions and response selection cases considered. Using only as little as a single degree of freedom per sector from the blade tip, this approach shows high accuracy relative to high-fidelity simulations.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"596 ","pages":"Article 118773"},"PeriodicalIF":4.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142650925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hysteresis dynamic modeling of 4-SPS parallel all-metallic isolator with spherical joints considering nonlinear micro-collision and interfacial friction 考虑非线性微碰撞和界面摩擦的 4-SPS 并联全金属球形接头隔振器磁滞动态建模

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-16 DOI: 10.1016/j.jsv.2024.118778

Chao Zheng, Jun Wu, Jianchao Liu, Xin Xue

{"title":"Hysteresis dynamic modeling of 4-SPS parallel all-metallic isolator with spherical joints considering nonlinear micro-collision and interfacial friction","authors":"Chao Zheng, Jun Wu, Jianchao Liu, Xin Xue","doi":"10.1016/j.jsv.2024.118778","DOIUrl":"10.1016/j.jsv.2024.118778","url":null,"abstract":"<div><div>This work aims to identify ways to model a high-accuracy hysteresis dynamic model for an innovative 4-SPS parallel all-metallic isolator. Firstly, a three-dimensional contact model of spherical joints under different conditions (stretching and compression) is proposed, referred to as the integrated model of nonlinear micro-collision and interfacial friction (INCF model). Simultaneously, in conjunction with the nonlinear elastic recovery force, nonlinear damping force, and nonlinear hysteresis damping force, the high-accuracy hysteresis dynamic model of the isolator is constructed. To validate the accuracy, dynamic experiments are conducted on the isolator at distinct frequencies (6–9 Hz) and amplitudes (0.6–0.9 mm). The results indicate that the hysteresis dynamic model constructed based on the INCF model exhibits a remarkably high level of precision compared to the classic model (<em>R</em><sup>2</sup>=0.998). This increased accuracy is attributed to the consideration of influencing factors of the INCF model, such as micro-collisions between spherical joints and interfacial friction during the operation of the isolator. These variables are determined by the material properties and geometric dimensions of the spherical joint and can be adjusted in real time based on the isolator deformations to enhance the model's accuracy. The method of parameter identification applied to overall structure resolves challenge of measuring the internal deformation of spherical joints. Importantly, the INCF model is not limited to the isolators proposed in this work but can also be applied to similar isolators with Stewart structure-type connections that employ spherical joints. These research findings provide a robust theoretical support for the design and performance optimization of the isolator, with the potential to positively impact related engineering applications.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"596 ","pages":"Article 118778"},"PeriodicalIF":4.3,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142536142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical study on the flow and noise control mechanisms of a forced rotating cylinder 强制旋转气缸的流动和噪音控制机制的数值研究

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-16 DOI: 10.1016/j.jsv.2024.118772

Chenghao Yang , Yu Liu , Guanjiang Chen , Xiaozheng Zhang , Chuan-Xing Bi

{"title":"Numerical study on the flow and noise control mechanisms of a forced rotating cylinder","authors":"Chenghao Yang , Yu Liu , Guanjiang Chen , Xiaozheng Zhang , Chuan-Xing Bi","doi":"10.1016/j.jsv.2024.118772","DOIUrl":"10.1016/j.jsv.2024.118772","url":null,"abstract":"<div><div>This numerical study proposes an active control method aiming to suppress aerodynamic noise from bluff bodies by employing a forced rotating cylinder and investigates its noise reduction effects and mechanisms. A three-dimensional large eddy simulation combined with the Ffowcs William–Hawkings equation was adopted to study the influence of different rotation ratios on the aerodynamic and aeroacoustic characteristics of a cylinder at a Reynolds number of <span><math><mrow><mn>4</mn><mo>.</mo><mn>7</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span>, and to elucidate the primary mechanisms by which cylinder rotation reduces aerodynamic noise. The numerical method is validated through a comparison with previous numerical and experimental results of both flow field and far-field noise. The present numerical results indicate that cylinder rotation can not only effectively reduce aerodynamic drag but also significantly suppress aerodynamic noise across the entire frequency range, including vortex-shedding tonal noise and broadband noise. Two primary mechanisms of flow and noise control by the rotating cylinder are revealed within different ranges of rotation ratio. One mechanism stabilizes the shear layer, thereby suppressing vortex shedding. The other mechanism attenuates the Kelvin–Helmholtz instability on the upper side of the cylinder, leading to a transition into laminar flow which inhibits the formation of large-scale coherent turbulent structures.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"596 ","pages":"Article 118772"},"PeriodicalIF":4.3,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Recursive modal properties of fractal monopodial trees, from finite to infinite order 分形单叉树的递归模态特性，从有限阶到无限阶

IF 4.3 2区工程技术

Journal of Sound and Vibration Pub Date : 2024-10-14 DOI: 10.1016/j.jsv.2024.118770

Cheng Ning Loong, Elias G. Dimitrakopoulos

{"title":"Recursive modal properties of fractal monopodial trees, from finite to infinite order","authors":"Cheng Ning Loong, Elias G. Dimitrakopoulos","doi":"10.1016/j.jsv.2024.118770","DOIUrl":"10.1016/j.jsv.2024.118770","url":null,"abstract":"<div><div>This study examines the modal properties of fractal-idealized monopodial trees, which comprise a main trunk with branches grown laterally and axially from it. Analysis via a renormalization technique shows that monopodial trees possess <em>emerging modes</em>, <em>self-similar modes with lateral branching</em>, and <em>self-similar modes with axial branching</em>. The study introduces a recursive analytical approach, which involves the construction of auxiliary <span><math><mi>P</mi></math></span>-functions to characterize the modal properties. Results reveal that monopodial trees’ modal frequencies are closely spaced because their emerging modes increase exponentially in number. Under the self-similar modes with lateral branching, the trees inherit all modes from their fractal ancestors, while under the self-similar modes with axial branching, they inherit only the self-similar modes from their ancestors. Hence, the main trunk stands still at self-similar modes, and the trees localize vibration at higher-order lateral branches. Therefore, the monopodial branching architecture is advantageous for reducing the vibration of the main trunk. This study also derives analytical formulas for the modal frequencies of trees with infinite order via a group tree modeling approach. Monopodial trees acquire the highest natural frequency when they have a one-to-one lateral-to-axial-branching ratio. The proposed formulas are verified with independent literature results and are shown to be accurate.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"595 ","pages":"Article 118770"},"PeriodicalIF":4.3,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142527008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0