Download or read book Tail Equivalent Linearization Method for Nonlinear Random Vibration written by Kazuya Fujimura and published by . This book was released on 2006 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Further Development of the Tail Equivalent Linearization Method for Nonlinear Stochastic Dynamics written by Marco Broccardo and published by . This book was released on 2014 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation provides the foundation for an in-depth understanding and significant development of the tail-equivalent linearization method (TELM) to solve different classes of nonlinear random vibration problems. The TELM is a linearization method that uses the first-order reliability method (FORM) to define a tail-equivalent linear system (TELS) and to estimate the tail of the response distribution for nonlinear systems under stochastic inputs. The method was originally developed in the time domain for inelastic systems. It was later extended in the frequency domain for a specific class of nonlinear excitations, while the frequency domain version for inelastic systems is covered in the present work. This dissertation mathematically formalizes and extends TELM analysis with different types of discretization of the input process. A general formulation for discrete representation of a Gaussian band-limited, white-noise process is introduced, which employs the sum of deterministic and orthogonal basis functions weighted by random coefficients. The selection of the basis functions completely defines the two types of discretizations used in the earlier works. Specifically, a train of equally spaced time delta-Dirac functions leads to the current time-domain discretization, while harmonic functions with equally spaced frequencies lead to the current frequency-domain discretization. We show that other types of orthogonal basis functions can be used with advantage to represent a Gaussian band-limited white noise and in particular we employ sinc basis functions, which are at the base of the Whittaker-Shannon interpolation formula. We demonstrate that this representation is suitable for reducing the total number of random variables that are necessary to describe the process, since it decouples the computational-time discretization from the band-limit of the process. Next, the dissertation tackles the problem of a nonlinear system subjected to multi-component excitations by defining an augmented standard normal space composed of all the random variables that define the multiple components of the excitation. The tail-equivalent linearization and definition of the TELS is taken in this new space. Once the augmented TELS is defined, response statistics of interest are determined by linear random vibration analysis by superposition of responses due to each component of the excitation. The method is numerically examined for an asymmetric structure with varying eccentricity and subjected to two statistically independent components of excitation. Several practical problems require analysis for non-stationary excitations. For this important class of problems the original TELM requires linearization for a series of points in time to study the evolution of response statistics. This procedure turns out to be computationally onerous. As an approximate alternative, we propose the evolutionary TELM, ETELM. In particular, we adopt the concepts of the evolutionary process theory, to define an evolutionary TELS, ETELS. The ETELS approximately estimates the continuous time evolution of the design point by only one TELM analysis. This is the essence of its efficiency compared to the standard TELM analysis. Among response statistics of interest, the first-passage probability represents the most important one for this class of problems. This statistic is efficiently computed by using the Au-Beck important sampling algorithm, which requires knowledge of the evolving design points, in conjunction with the ETELS. The method is successfully tested for five types of excitation: (I) uniformly modulated white noise, (II) uniformly modulated broad-band excitation, (III) uniformly modulated narrow-band excitation, (IV) time- and frequency-modulated broad-band excitation, and (V) time- and frequency-modulated narrow-band excitation.
Download or read book Linearization Methods for Stochastic Dynamic Systems written by Leslaw Socha and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.
Download or read book Nonlinear Random Vibration written by Cho W.S. To and published by CRC Press. This book was released on 2000-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic presentation of several classes of analytical techniques in non-linear random vibration. The book also includes a concise treatment of Markovian and non-Markovian solutions of non-linear differential equations.
Download or read book Risk and Reliability Analysis Theory and Applications written by Paolo Gardoni and published by Springer. This book was released on 2017-02-24 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unique collection of contributions from some of the foremost scholars in the field of risk and reliability analysis. Combining the most advanced analysis techniques with practical applications, it is one of the most comprehensive and up-to-date books available on risk-based engineering. All the fundamental concepts needed to conduct risk and reliability assessments are covered in detail, providing readers with a sound understanding of the field and making the book a powerful tool for students and researchers alike. This book was prepared in honor of Professor Armen Der Kiureghian, one of the fathers of modern risk and reliability analysis.
Download or read book Nonlinear Random Vibration written by Cho W.S. To and published by CRC Press. This book was released on 2000-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic presentation of several classes of analytical techniques in non-linear random vibration. The book also includes a concise treatment of Markovian and non-Markovian solutions of non-linear differential equations.
Download or read book Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-20 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two new equivalent linearization implementations for geometrically nonlinear random vibrations are presented. Both implementations are based upon a novel approach for evaluating the nonlinear stiffness within commercial finite element codes and are suitable for use with any finite element code having geometrically nonlinear static analysis capabilities. The formulation includes a traditional force-error minimization approach and a relatively new version of a potential energy-error minimization approach, which has been generalized for multiple degree-of-freedom systems. Results for a simply supported plate under random acoustic excitation are presented and comparisons of the displacement root-mean-square values and power spectral densities are made with results from a nonlinear time domain numerical simulation.Rizzi, Stephen A. and Muravyov, Alexander A.Langley Research CenterLINEARIZATION; ACOUSTIC EXCITATION; FINITE ELEMENT METHOD; RANDOM VIBRATION; OPTIMIZATION; MATHEMATICAL MODELS; POTENTIAL ENERGY; COMPUTERIZED SIMULATION; LOAD DISTRIBUTION (FORCES); SPECTRAL BANDS; ROOT-MEAN-SQUARE ERRORS; ACOUSTIC FATIGUE; DEGREES OF FREEDOM
Download or read book Reliability and Optimization of Structural Systems written by Daniel Straub and published by CRC Press. This book was released on 2010-07-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 28 papers by renowned international experts on the latest advances in structural reliability methods and applications, engineering risk analysis and decision making, new optimization techniques and various applications in civil engineering. Moreover, several contributions focus on the assessment and optimization of existing str
Download or read book Mathematical Applications in Continuum and Structural Mechanics written by Francesco Marmo and published by Springer Nature. This book was released on 2021-11-30 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.
Download or read book Equivalent Linearization in Non linear Random Vibration Problems written by Fabio Casciati and published by . This book was released on 1986 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Improved Equivalent Linearization Implementations Using Nonlinear Stiffness Evaluation written by Stephen A. Rizzi and published by DIANE Publishing. This book was released on 2001 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report documents two new implementations of equivalent linearization for solving geometrically nonlinear random vibration problems of complicated structures. The implementations are given the acronym ELSTEP, for "Equivalent Linearization using a Stiffness Evaluation Procedure." Both implementations of ELSTEP are fundamentally the same in that they use a novel nonlinear stiffness evaluation procedure to numerically compute otherwise inaccessible nonlinear stiffness terms from commercial finite element programs. The commercial finite element program MSC/NASTRAN (NASTRAN) was chosen as the core of ELSTEP. The FORTRAN implementation calculates the nonlinear stiffness terms and performs the equivalent linearization analysis outside of NASTRAN.
Download or read book Parametric Resonance in Dynamical Systems written by Thor Fossen and published by Springer Science & Business Media. This book was released on 2011-12-13 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems, vehicles, motorcycles, aircraft and marine craft, along micro-electro-mechanical systems. The contributors provides an introduction to the root causes of this phenomenon and its mathematical equivalent, the Mathieu-Hill equation. Also included is a discussion of how parametric resonance occurs on ships and offshore systems, and its frequency in mechanical and electrical systems. This volume is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.
Download or read book Computational Structural Dynamics and Earthquake Engineering written by Manolis Papadrakakis and published by CRC Press. This book was released on 2008-12-04 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing necessity to solve complex problems in Structural Dynamics and Earthquake Engineering requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest scientific developments in Computational Dynamics, Stochastic Dynam
Download or read book Recent Advances and Applications of Seismic Isolation and Energy Dissipation Devices written by Dario De Domenico and published by Frontiers Media SA. This book was released on 2020-10-12 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.
Download or read book Safety Reliability Risk and Life Cycle Performance of Structures and Infrastructures written by George Deodatis and published by CRC Press. This book was released on 2014-02-10 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures contains the plenary lectures and papers presented at the 11th International Conference on STRUCTURAL SAFETY AND RELIABILITY (ICOSSAR2013, New York, NY, USA, 16-20 June 2013), and covers major aspects of safety, reliability, risk and life-cycle performance of str
Download or read book Nonlinear Random Vibration Second Edition written by Cho W.S. To and published by CRC Press. This book was released on 2011-08-10 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include: • a concise treatment of Markovian and non- Markovian solutions of nonlinear stochastic differential equations, • exact solutions of Fokker-Planck-Kolmogorov equations, • methods of statistical linearization, • statistical nonlinearization techniques, • methods of stochastic averaging, • truncated hierarchy techniques, and • an appendix on probability theory. A special feature is its incorporation of detailed steps in many examples of engineering applications. Targeted audience: Graduates, research scientists and engineers in mechanical, aerospace, civil and environmental (earthquake, wind and transportation), automobile, naval, architectural, and mining engineering.
Download or read book Structural and System Reliability written by Armen Der Kiureghian and published by Cambridge University Press. This book was released on 2022-01-13 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a modern, rigorous and comprehensive treatment of the subject using numerous well-designed examples and end-of-chapter problems.
