Analytical solutions for free and forced vibrations of a multiple cracked Timoshenko beam subject to a concentrated moving load

• Published in: Acta mechanica Vol. 221; no. 1-2; pp. 79 - 97
• Main Authors: Shafiei, M., Khaji, N.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.09.2011; Springer; Springer Nature B.V
• Subjects: Beams (structural); Classical and Continuum Physics; Control; Crack propagation; Dynamical Systems; Engineering; Engineering Thermodynamics; Exact sciences and technology; Forced vibration; Fracture mechanics; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Heat and Mass Transfer; Mathematical analysis; Mathematical models; Mechanical engineering; Moving loads; Physics; Solid Mechanics; Springs (elastic); Static elasticity (thermoelasticity...); Structural and continuum mechanics; Theoretical and Applied Mechanics; Timoshenko beams; Velocity; Vibration; Vibration analysis; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Crack Depth; Forced Vibration; Bernoulli Beam; Timoshenko Beam; Cantilever Beam; Crack array; Modal analysis; Forced vibration; Free vibration; Eigenfunction; Timoshenko beam; Rupture; Modeling; Concentrated load; Edge crack; Crack propagation; Boundary value problem; Moving load; Superposition method; Cracked beam

An analytical approach for evaluating the forced vibration response of uniform beams with an arbitrary number of open edge cracks excited by a concentrated moving load is developed in this research. For this purpose, the cracked beam is modeled using beam segments connected by rotational massless li...