Transfer-matrix Method and Computer Program for the Vibration Analysis of Series Plane-frame Structures Having Material Damping and Complex Terminations PDF Download
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Author: J. G. Akey
Publisher:
ISBN:
Category :
Languages : en
Pages : 213
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Book Description
The transfer-matrix method is developed into a step-by-step procedure for obtaining anlytical expressions for the steady-state vibration response of plane frames composed of beams connected in series. Transfer matrices based on superposition of the longitudinal and lateral vibrations of a uniform beam are presented which can include the effects of material damping, shear, and rotary inertia. The resulting procedure is developed into an extensive Fortran Program for calculating response curves for force ratios, velocity ratios, impedances, etc. from a small amount of input data. Input data requirements, including an input map, and the form of output data are explained in detail. A Fortran listing of the complete program and a brief description of the main program are also included. (Author).
Author: J. G. Akey
Publisher:
ISBN:
Category :
Languages : en
Pages : 213
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Book Description
The transfer-matrix method is developed into a step-by-step procedure for obtaining anlytical expressions for the steady-state vibration response of plane frames composed of beams connected in series. Transfer matrices based on superposition of the longitudinal and lateral vibrations of a uniform beam are presented which can include the effects of material damping, shear, and rotary inertia. The resulting procedure is developed into an extensive Fortran Program for calculating response curves for force ratios, velocity ratios, impedances, etc. from a small amount of input data. Input data requirements, including an input map, and the form of output data are explained in detail. A Fortran listing of the complete program and a brief description of the main program are also included. (Author).
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 870
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Author:
Publisher:
ISBN:
Category : Shock (Mechanics)
Languages : en
Pages : 1338
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Author: Dexter V. Wright
Publisher:
ISBN:
Category : Structural dynamics
Languages : en
Pages : 174
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Author:
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ISBN:
Category : Research
Languages : en
Pages : 892
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Author: Alexander Tesár
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 268
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Author: D. J. Hatter
Publisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 224
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Book Description
Author: Xiaoting Rui
Publisher: John Wiley & Sons
ISBN: 1118724828
Category : Mathematics
Languages : en
Pages : 766
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Book Description
TRANSFER MATRIX METHOD FOR MULTIBODY SYSTEMS: THEORY AND APPLICATIONS Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, China Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry. • Comprehensively introduces a new method of analyzing multibody dynamics for engineers • Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies • Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics Written by an internationally renowned author and research team with many years' experience in multibody systems Transfer Matrix Method of Multibody System and Its Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.
Author: Latifa Abdalla Abuazoum
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
This thesis is mostly about the analysis of second order linear vibrating systems. The main purpose of this study is to extend methods which have previously been developed for either undamped or proportionally damped or classically damped systems to the general case. These methods are commonly used in aerospace industries. Ground vibration testing of aircraft is performed to identify the dynamic behaviour of the structure. New aircraft materials and joining methods - composite materials and/or novel adhesive bonding approaches in place of riveted or welded joints - cause higher levels of damping that have not been seen before in aircraft structure. Any change occurring in an original structure causes associated changes of the dynamic behaviour of the structure. Analytical finite element analyses and experimental modal testing have become essential tools for engineers. These techniques are used to determine the dynamic characteristics of mechanical structures. In Chapters 3 and 4, structural analysis and modal testing have been carried out an aircraft-like structure. Modal analysis techniques are used to extract modal data which are identified from a single column of the frequency response matrix. The proposed method is presented for fitting modal peaks one by one. This technique overcomes the difficulty due to the conventional methods which require a series of measured FRFs at different points of excitation. New methods presented in this thesis are developed and implemented initially for undamped systems in all cases. These ideas are subsequently extended for generally damped linear systems. The equations of motion of second order damped systems are represented in state space. These methods have been developed based on Lancaster Augmented Matrices (LAMs) and diagonalising structure preserving equivalences (DSPEs). In Chapter 5, new methods are developed for computing the derivatives of the non-zeros of the diagonalised system and the derivatives of the diagonalising SPEs with respect to modifications in the system matrices. These methods have provided a new approach to the evaluation and the understanding of eigenvalue and eigenvector derivatives. This approach resolves the quandary where eigenvalue and eigenvector derivatives become undefined when a pair of complex eigenvalues turns into a pair of real eigenvalues or vice-versa. They also have resolved when any one or more of the system matrices is singular. Numerical examples have illustrated the new methods and they have shown that the method results overcome certain difficulties of conventional methods. In Chapter 6, Möbius transformations are used to address a problem where the mass matrix is singular. Two new transformations are investigated called system spectral transformation SSTNQ and diagonalising spectral/similarity transformation DSTOQ. The transformation SSTNQ maps between matrices of two systems having the same short eigenvectors and their diagonalised system matrices. The transformation DSTOQ maps between two diagonalising SPE's having identical eigenvalues. Modal correlation methods are implemented to evaluate and quantify the differences between the output results from these techniques. Different cross orthogonality measures represent a class of methods which are recently performed as modal correlation for damped systems. In Chapter 7, cross orthogonality measures and mutual orthogonality measures are developed for undamped systems. These measures are defined in terms of real matrices - the diagonalising structure preserving equivalences (DSPEs). New methods are well developed for ill-conditioned system such that they work for all occasions and not only for cases where mass matrix is non-singular. Also a measure of the residuals is introduced which does not demand invertibility of diagonalised system matrices. Model updating methods are used in order to update models of systems by matching the output results from analytical system models with the experimentally obtained values. In Chapter 8, both cross-orthogonality measures and mutual-orthogonality measures are developed and used in the model updating of generally damped linear systems. Model updating based on the mutual orthogonality measures exhibits monotonic convergence from every starting position. That is to say, the ball of convergence has an infinite radius whereas updating procedures based on comparing eigenvectors exhibit a finite ball of convergence. Craig Bampton transformations are one of component methods which are used to reduce and decouple large structure systems. In Chapter 9 Craig Bampton transformations are developed for undamped systems and extended for damped second order systems in state space. Craig Bampton transformations are generalised and presented in SPEs forms. The two parts of the Craig Bampton transformations are extended in the full sizes of the substructure. The extended Craig Bampton transformations are modified to format each block of transformed substructure matrices as LAMs matrices format. This thesis generalises and develops the methods mentioned above and illustrates these concepts with an experimental modal test and some examples. The thesis also contains brief information about basic vibration properties of general linear structures and literature review relevant to this project.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 209
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Book Description
A user's guide is presented for a computer program developed to aid in the design of sonic-fatigue-resistant aircraft structure. The program employs matrix methods to calculate statistical measurements of response (deflection and stress) for complex structure subjected to pressure loads random in both time and space. The program is in two phases. Finite-element methods are used in the first phase to determine structural characteristics such as flexibility, natural frequencies, and modes of vibration. In the second phase, a cross-power spectral density loading function, is generated and combined with structural characteristics to compute response. Either cross power spectral density or joint statistical moments, including second spectral moments useful in fatigue analysis, can be computed for response. The loading function models a decayed progressive wave typical of laboratory noise sources. Different loading functions can be supplied by the user, because the program is constructed in modular form. The program was written for the IBM 7094 computer primarily in FORTRAN IV language with a MAP language matrix manipulation module.
