Continualization and Discretization

Jan Awrejcewicz
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Jan Awrejcewicz: Łódź University of Technology, Department of Automation, Biomechanics and Mechatronics

Chapter Chapter 12 in Ordinary Differential Equations and Mechanical Systems, 2014, pp 395-415 from Springer

Abstract: Abstract So far we considered oscillations of a single oscillator, or in a language of mechanics, a system of one degree-of-freedom. If there is a lot of oscillators, connected along a certain axis, then a problem of modelling can be reduced to continualization, i.e. there is a possibility of transition from many second-order ordinary differential equations to a single partial differential equation.

Keywords: Partial Differential Equation; Couple Oscillator; Crystalline Liquid; Amplitude Equation; Initial Imperfection (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-07659-1_12

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