Dynamic Analysis of Structural Systems using Component Mode Synthesis

Muscolino, G.

doi:10.4203/csets.7.11

Cited by 1 publication

(3 citation statements)

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“…Following the traditional component-mode synthesis method (Biondi and Muscolino, 2000;Hurty, 1960;Muscolino, 2002), the equations of motion of the coupled cable-moving oscillators system are obtained by imposing the equilibrium and the compatibility conditions at the time-dependent positions x i (t) locating the contact points.…”

Section: Coupled Cable-moving Oscillators Systemmentioning

confidence: 99%

“…Indeed, the displacement components are approximated as continuous functions. In order to overcome this drawback, the authors (Muscolino andSofi, 2003, 2006) proposed an alternative series representation of cable response to moving masses, which possesses better convergence than the conventional one in terms of eigenfunctions of the associated linear problem. The underlying idea stems from the well-known ''mode-acceleration'' method (Maddox, 1975), which has already been exploited in the literature (see, e.g.…”

Section: Introductionmentioning

confidence: 98%

“…In the present study, the approach proposed in References (Muscolino andSofi, 2003, 2006) is properly extended to analyze in-plane vibrations of flat-sag suspended cables carrying an array of moving oscillators with arbitrarily varying velocities. Specifically, a more sophisticated representation of the travelling sub-systems, i.e.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis of suspended cables carrying moving oscillators

Sofi

Muscolino

2007

International Journal of Solids and Structures

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An efficient procedure for analyzing in-plane vibrations of flat-sag suspended cables carrying an array of moving oscillators with arbitrarily varying velocities is presented. The cable is modelled as a mono-dimensional elastic continuum, fully accounting for geometrical nonlinearities. By eliminating the horizontal displacement component through a standard condensation procedure, the nonlinear integro-differential equation governing vertical cable vibrations is derived. Due to the dynamic interaction at the contact points with the moving oscillators, such equation is coupled to the set of ordinary differential equations ruling the response of the travelling sub-systems. An improved series representation of vertical cable displacement is proposed, which allows to overcome the inability of the traditional Galerkin method to reproduce the kinks and abrupt changes of cable configuration at the interface with the moving sub-systems. Following the philosophy of the well-known ''mode-acceleration'' method, the convergence of the series expansion of cable response in terms of appropriate basis functions is improved through the introduction of the so-called ''quasi-static'' solution. Numerical results demonstrate that, despite the basis functions are continuous, the improved series enables to capture with very few terms the abrupt changes of cable profile at the contact points between the cable and the moving oscillators.

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Section: Coupled Cable-moving Oscillators Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%