NDLI: On the moving load problem in Euler–Bernoulli uniform beams with viscoelastic supports and joints

Content Provider	Springer Nature Link
Author	Di Lorenzo, Salvatore Di Paola, Mario Failla, Giuseppe Pirrotta, Antonina
Copyright Year	2016
Abstract	This paper concerns the vibration response under moving loads of Euler–Bernoulli uniform beams with translational supports and rotational joints, featuring Kelvin–Voigt viscoelastic behaviour. Using the theory of generalized functions to handle the discontinuities of the response variables at the support/joint locations, exact beam modes are obtained from a characteristic equation built as determinant of a $$4\times 4$$ matrix, for any number of supports/joints. Based on pertinent orthogonality conditions for the deflection modes, the response under moving loads is built in the time domain by modal superposition. Remarkably, all response variables are built in a closed analytical form, regardless of the number of supports/joints.
Starting Page	805
Ending Page	821
Page Count	17
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	228
Issue Number	3
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2016-10-17
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical and Applied Mechanics Classical and Continuum Physics Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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On the moving load problem in Euler–Bernoulli uniform beams with viscoelastic supports and joints