Journal ArticleDOI
Harmonic wavelets based response evolutionary power spectrum determination of linear and nonlinear structural systems with singular matrices
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TLDR
Recently developed wavelet-based solution frameworks are adopted and further generalized in this paper to account for systems with singular matrices, and a Moore–Penrose generalized matrix inverse excitation-response relationship is derived herein for determining the response EPS of linear MDOF systems.About:
This article is published in Mechanical Systems and Signal Processing.The article was published on 2021-02-15. It has received 26 citations till now. The article focuses on the topics: Nonlinear system & Moore–Penrose pseudoinverse.read more
Citations
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Dynamic modeling and vibration prediction of an industrial robot in manufacturing
TL;DR: In this paper , a dynamic modeling and vibration prediction method of an industrial robot subjected to machining forces is presented, where the robot is modeled as a multibody system consisting of body elements and hinge elements using the transfer matrix method for multi-body systems.
Journal ArticleDOI
Deterministic and Random Vibration of Linear Systems with Singular Parameter Matrices and Fractional Derivative Terms
Antonina Pirrotta,Ioannis A. Kougioumtzoglou,A. Di Matteo,V. C. Fragkoulis,Athanasios A. Pantelous,Christoph Adam +5 more
TL;DR: In this paper, both time and frequency-domain solution techniques are developed for determining the response of linear multi-degree-of-freedom systems exhibiting singular parameter matrices and endowed w...
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Non-stationary approximate response of non-linear multi-degree-of-freedom systems subjected to combined periodic and stochastic excitation
TL;DR: In this paper, an approximate method for determining the non-stationary response of multi-degree-of-freedom nonlinear systems subjected to combined periodic and stochastic excitation is presented.
Journal ArticleDOI
Response Determination of Nonlinear Systems with Singular Matrices Subject to Combined Stochastic and Deterministic Excitations
TL;DR: In this paper, a new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular parameter matrices subject to combined stochastic and deterministic excit...
Journal ArticleDOI
Multi-taper S-transform method for evolutionary spectrum estimation
TL;DR: In this article , a multi-taper S-transform (MTST) method for estimating evolutionary power spectral density (EPSD) and coherence of multi-variate non-stationary processes is introduced.
References
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Book
Generalized inverses: theory and applications
Adi Ben-Israel,T. N. E. Greville +1 more
TL;DR: In this paper, the Moore of the Moore-Penrose Inverse is described as a generalized inverse of a linear operator between Hilbert spaces, and a spectral theory for rectangular matrices is proposed.
Book
Generalized inverses of linear transformations
TL;DR: In this article, the Moore-Penrose or generalized inverse has been applied to the theory of finite Markov chains, and applications of the Drazin inverse have been discussed.
Book
Random vibration and statistical linearization
J.B. Roberts,Pol D. Spanos +1 more
TL;DR: In this paper, a comprehensive account of statistical linearization with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems is given, and the principal value of these methods is that they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.
Book
Robot Dynamics Algorithms
TL;DR: This work extends the Dynamics Algorithms to include contact, impact, and Kinematic Loops, and aims to improve accuracy and efficiency in the management of contact and impact.