Identification of loading source on an infinite elastic beam

Identification of loading source on an infinite elastic beam | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Identification of loading source on an infinite elastic beam Mohamed Larbi KADRI This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4670231/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper deals with the reconstruction of an unknown loading source on the topside of aninfinite Bernoulli−Euler beam resting on a Winkler type elastic foundation and subject to appropriateboundary conditions using noise contaminated data measurements of the beam deflection at a finite num-ber of points of the beam. This is an inverse problem that can be recast in the form of a Fredholm integralequation of the first kind which is known to be intrinsically ill-posed and extremely sensitive to high-frequency perturbations. Numerical results obtained using various regularization methods : Tikhonov’sregularization, Truncated Singular Value Decomposition and an optimisation method using Bernsteinpolynomials are discussed. The reconstructions obtained are very satisfactory and give confidence on theapplications of these methods to unknown loads. Inverse problem Infinite beam Identification loading source Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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