Vibration Of Periodic Structures
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Vibration Of Periodic Structures
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Author : Gautam SenGupta
language : en
Publisher: Elsevier
Release Date : 2023-11-10
Vibration Of Periodic Structures written by Gautam SenGupta and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-10 with Technology & Engineering categories.
Vibration of Periodic Structures introduces the fundamentals of the periodic structure theory. The book shows how knowledge of stop and pass bands can be utilized to develop a method for finding natural frequency distribution in a finite periodic structure. Basic concepts are then extended to wave propagation in infinitely long periodically supported beams and plates and the distribution of natural frequencies of a similar structure of finite length. The method is then extended to vibration of skin-stringer structures and the structural-acoustic properties of a section of an aircraft fuselage.This book is ideal for practicing engineers in various industries involved in the analysis of vibration of structures with periodic properties and prediction of supersonic flutter characteristics of said structures. Shows how the periodic structure theory can be combined with the finite element method to model a section of an airplane fuselage to study its structural-acoustic characteristics Features developing methods for predicting the dynamics of periodic structures in a cost-effective manner Guides the reader in predicting and reducing response of periodically stiffened structures to random excitations
Vibration Analysis Of Periodic Structures
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Author : Doo P. Hong
language : en
Publisher:
Release Date : 1983
Vibration Analysis Of Periodic Structures written by Doo P. Hong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Structural analysis (Engineering) categories.
The transfer matrix method employed for vibration analysis of periodic structure in the present study is somewhat similar in principle to the classical transfer matrix method which has long been used for a continuous beam on multiple supports (either spring or knife-edge supports). However, improvements are made on the method by combining the classical transfer matrix method with the concept of the propagation constant and the Finite Element formulation of an impedance matrix. The Finite Element formulation enables one to do the vibration analysis no matter how complex the structure may be; while the use of transfer matrices reduces the computational effort virtually to that of a single periodic unit. The propagation constant which is obtained in the form of a logarithmic eigenvalue of the transfer matrix helps in the understanding of the vibration by indicating which flexural waves attenuate and which propagate along the periodic structure. Consequently, vibration problems of periodic structures which could be very difficult to analyze by other methods can be more easily and efficiently analyzed by this improved transfer matrix method. The numerical examples taken in the present study are mostly for uniform Timoshenko beams with different intermediate supports and extreme boundary conditions. The natural frequencies or the steady-state forced harmonic response of such beams are obtained and the effect of rotary inertia and shear deformation on the flexural motions of a multi-span beam is investigated. The application of the present method is by no means restricted to the uniform beam vibration problems. However, the numerical examples and their results may sufficiently demonstrate the versatility and superiority of the present method over other available methods for analysis of vibration of periodic structures.
Vibration Of Nearly Periodic Structures And Mistuned Bladed Rotors
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Author : Alok Sinha
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-16
Vibration Of Nearly Periodic Structures And Mistuned Bladed Rotors written by Alok Sinha and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-16 with Science categories.
This is the first comprehensive volume on fundamental concepts and issues in the analysis of mistuned vibrations.
Asme 70 Wa De 3
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Author : Denys J. Mead
language : en
Publisher:
Release Date : 1970
Asme 70 Wa De 3 written by Denys J. Mead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Elastic wave propagation categories.
Vibration Isolation With Periodic Structures
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Author : Junyi Lee
language : en
Publisher:
Release Date : 2016
Vibration Isolation With Periodic Structures written by Junyi Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Analysis Of Vibration Of 2 D Periodic Cellular Structures
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Author : Sang Min Jeong
language : en
Publisher:
Release Date : 2005
Analysis Of Vibration Of 2 D Periodic Cellular Structures written by Sang Min Jeong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Grillages (Structural engineering) categories.
The vibration of and wave propagation in periodic cellular structures are analyzed. Cellular structures exhibit a number of desirable multifunctional properties, which make them attractive in a variety of engineering applications. These include ultra-light structures, thermal and acoustic insulators, and impact amelioration systems, among others. Cellular structures with deterministic architecture can be considered as example of periodic structures. Periodic structures feature unique wave propagation characteristics, whereby elastic waves propagate only in specific frequency bands, known as "pass band", while they are attenuated in all other frequency bands, known as "stop bands". Such dynamic properties are here exploited to provide cellular structures with the capability of behaving as directional, pass-band mechanical filters, thus complementing their well documented multifunctional characteristics. This work presents a methodology for the analysis of the dynamic behavior of periodic cellular structures, which allows the evaluation of location and spectral width of propagation and attenuation regions. The filtering characteristics are tested and demonstrated for structures of various geometry and topology, including cylindrical grid-like structures, Kagomé and tetrhedral truss core lattices. Experimental investigations is done on a 2-D lattice manufactured out of aluminum. The complete wave field of the specimen at various frequencies is measured using a Scanning Laser Doppler Vibrometer (SLDV). Experimental results show good agreement with the methodology and computational tools developed in this work. The results demonstrate how wave propagation characteristics are defined by cell geometry and configuration. Numerical and experimental results show the potential of periodic cellular structures as mechanical filters and/or isolators of vibrations.
Investigation For The Analysis Of The Vibrations Of Quasi Periodic Structures
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Author : Safiullah Timorian
language : en
Publisher:
Release Date : 2020
Investigation For The Analysis Of The Vibrations Of Quasi Periodic Structures written by Safiullah Timorian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
In this thesis, the definition and effects of quasi-periodicity in periodic structure are investigated. More importantly, the presence of irregularity in periodic structures and its significant impact in vibroacoustic responses of elastic systems are analyzed. In the extant literature, it has already shown that a sandwich panel, optimized for vibroacoustic performance with added random properties of the core, can exhibit stop band characteristics in some frequency ranges. Therefore, an additional target can exist in framing the abovementioned property under the Wave Finite Element Method (WFEM) for resulting in some design guideline. In this paper, (1) the numerical stud- ies of the vibrational analysis of 1D finite, periodic, and quasi-periodic beams are presented. The paper's content deals with the finite element models of beams focusing on spectral analysis and the damped forced responses. The quasi-periodicity is defined by invoking the Fibonacci sequence for building the assigned variations (geometry and material) along the span of the finite element model in one direction. Similarly, the same span is used as a super unit cell with WFEM for analyzing the infinite periodic systems. (2) The method of variation with a developed algorithm is also considered to find the most efficient geometrical impedance mismatch behavior of unit cells for vibration control. (3) Numerical studies and experimental measurements on 2D periodic and quasi-periodic lattices are thus performed. Experimental validations are performed by comparing the quasi-periodic lattice simulated by using WFEM modelling, with a prototype manufactured by laser machin- ing. Based on the major findings, and considering both longitudinal and flexural elastic waves in 1D beams, the frequency ranges corresponding to band gaps are investigated. In the 2D structures, the wave characteristics in the quasi-periodic lattice introduce the possibility of designing wider fre- quency stop bands in low frequency ranges, and presents some elements of novelty; moreover, they can be considered for designing structural filters and controlling the properties of elastic waves. The results obtained in this study show that the beam with Fibonacci characteristics and panels with Thue- Morse characteristics can improve performances in terms of attenuation level without weight penalty, which can be an asset for metamaterials.
Vibration Of Damped Periodic Structures
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Author :
language : en
Publisher:
Release Date : 1985
Vibration Of Damped Periodic Structures written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Vibrations Of Rotationally Periodic Structures
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Author : Andres M. Rodriguez
language : en
Publisher:
Release Date : 2022
Vibrations Of Rotationally Periodic Structures written by Andres M. Rodriguez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
Blisk components are an integral part of jet engines and power generation systems. Composed of a single monolithic structure, integral blisks combine the blade-and-disk portion of primary components such as the fan, compressor stage, or turbine stage. This design modification increases the aerodynamic performance while decreasing the cost and eliminating time of assembly. However, these benefits come with the loss of blade-disk connection interfaces, which greatly reduces the structure’s damping and its ability to attenuate unwanted structural vibrations. Blisk dynamics are impacted by mistuning, which is a disruption of the periodic symmetry of otherwise identical bladed sections. This disruption degrades the overall performance of components. This dissertation advances theoretical and experimental studies into mistuning, both in terms of characterization and vibration localization. A theoretical analysis of wave propagation in periodic structures shows that vibration localization arises from two separate generating mechanisms: an isolated defect or random variations throughout the structure. Through two novel metrics--the band flatness factor and the localization amplification criterion--we establish a unique approach to identifying localized modes on cyclic structures. We present a novel framework that distinguishes between the response of the tuned and mistuned system. A characteristic single-degree-of-freedom response of the tuned system to engine-order forcing forms the basis of our mistuning characterization framework. The actual mistuning (or tuned system) characterization is performed through computations of a modified modal assurance criterion, termed here the modal mistuning criterion. The modal mistuning criterion uses frequency response function data obtained from engine order-forcing profiles and tuned system modes derived from a model to compute the modal contribution to a mistuned response. Finally, this mistuning characterization metric is validated through experimental tests on multiple academic blisk components.
Vibrating Spatially Periodic Structures With Simply Supported And Guided Ends
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Author : P. H. Denke
language : en
Publisher:
Release Date : 1979
Vibrating Spatially Periodic Structures With Simply Supported And Guided Ends written by P. H. Denke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Sound categories.