2012/07/01 by Teodor M. Atanacković, Teodor M. Atanackovic, Stevan Pilipović +3
Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Constitutive equation #Derivative (finance) #Elasticity and Wave Propagation #Equations of motion #Finite element method #Fractional Differential Equations Solutions #Fractional calculus #Function (biology) #Integer (computer science) #Mathematical analysis #Mathematics #Motion (physics) #Order (exchange) #Physics #Thermodynamics #Thermoelastic and Magnetoelastic Phenomena #Type (biology) #Variable (mathematics) #Viscoelasticity #math-ph #math.MP
paper · pdf · doi:10.1016/j.ijengsci.2012.12.006
published as International Journal of Engineering Science 64 (2013) 54-65
arxiv created 2012/07/01 · openalex publication_date 2013/01/30 · arxiv updated 2013/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the fractional order. To the constitutive equation we associate a single function of complex variable that plays a key role in finding the solution of the system and in determining its properties. This function could be defined for a linear viscoelastic bodies of integer/fractional derivative type.