{"product_id":"wavelet-methods-for-dynamical-problems-s-gopalakrishnan-9781439804612","title":"Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite, and Nano-Composite Structures","description":"\u003cp\u003e\u003cstrong\u003eEmploys a Step-by-Step Modular Approach to Structural Modeling\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003eConsidering that wavelet transforms have also proved useful in the solution and analysis of engineering mechanics problems, up to now there has been no sufficiently comprehensive text on this use. \u003cstrong\u003eWavelet Methods for Dynamical Problems: With Application to Metallic, Composite and Nano-composite Structures\u003c\/strong\u003e addresses this void, exploring the special value of wavelet transforms and their applications from a mechanical engineering perspective. It discusses the use of existing and cutting-edge wavelet methods for the numerical solution of structural dynamics and wave propagation problems in dynamical systems.\u003c\/p\u003e\u003cp\u003eExisting books on wavelet transforms generally cover their mathematical aspects and effectiveness in signal processing and as approximation bases for solution of differential equations. However, this book discusses how wavelet transforms are an optimal tool for solving ordinary differential equations obtained by modeling a structure. It also demonstrates the use of wavelet methods in solving partial differential equations related to structural dynamics, which have not been sufficiently explored in the literature to this point. \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePresents a new \u003cem\u003ewavelet based spectral finite element\u003c\/em\u003e numerical method for modeling one-, and two-dimensional structures\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003eMany well-established transforms, such as Fourier, have severe limitations in handling finite structures and specifying non-zero boundary\/initial conditions. As a result, they have limited utility in solving real-world problems involving high frequency excitation. This book carefully illustrates how the use of wavelet techniques removes all these shortcomings and has a potential to become a sophisticated analysis tool for handling dynamical problems in structural engineering.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCovers the use of wavelet transform in force identification and structural health monitoring\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003eDesigned to be useful for both professional researchers and graduate students alike, it provides MATLAB(R) scripts that can be used to solve problems and numerical examples that illustrate the efficiency of wavelet methods and emphasize the physics involved.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e S. Gopalakrishnan,Mira Mitra\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1439804613\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781439804612\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/12\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 304\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eScitech Book News\u003c\/i\u003e 06\/01\/2010 pg. 136","brand":"S. Gopalakrishnan","offers":[{"title":"Hardcover","offer_id":48113549869311,"sku":"9781439804612","price":74.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_04d4ea75-4f66-4598-9f0e-9739b5082730.jpg?v=1769615754","url":"https:\/\/www.whiterainbookhouse.com\/products\/wavelet-methods-for-dynamical-problems-s-gopalakrishnan-9781439804612","provider":"WR Book House","version":"1.0","type":"link"}