Vibration analysis of multi-stepped and multi-damaged parabolic arches using GDQ

• Autorzy: Erasmo Viola , Marco Miniaci , Nicholas Fantuzzi , Alessandro Marzani
• Języki publikacji: EN

Abstrakty

EN

This paper investigates the in-plane free vibrations of multi-stepped and multi-damaged parabolic arches, for various boundary conditions. The axial extension, transverse shear deformation and rotatory inertia effects are taken into account. The constitutive equations relating the stress resultants to the corresponding deformation components refer to an isotropic and linear elastic material. Starting from the kinematic hypothesis for the in-plane displacement of the shear-deformable arch, the equations of motion are deduced by using Hamilton’s principle. Natural frequencies and mode shapes are computed using the Generalized Differential Quadrature (GDQ) method. The variable radius of curvature along the axis of the parabolic arch requires, compared to the circular arch, a more complex formulation and numerical implementation of the motion equations as well as the external and internal boundary conditions. Each damage is modelled as a combination of one rotational and two translational elastic springs. A parametric study is performed to illustrate the influence of the damage parameters on the natural frequencies of parabolic arches for different boundary conditions and cross-sections with localizeddamage.Results for the circular arch, derived from the proposed parabolic model with the derivatives of some parameters set to zero, agree well with those published over the past years.

Słowa kluczowe

EN

Parabolic Arches; Generalized DifferentialQuadrature Method; Damage; Numerical Methods

• Wydawca: De Gruyter Open
• Czasopismo: Curved and Layered Structures
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2014-09-25

zaakceptowano

2014-11-18

online

2014-12-18

Twórcy

autor

Erasmo Viola

• Department of Civil,
  Chemical, Environmental and Materials Engineering - DICAM, University
  of Bologna, Viale del Risorgimento 2, 40136, Bologna, Italy

autor

Marco Miniaci

• Department of Civil,
  Chemical, Environmental and Materials Engineering - DICAM, University
  of Bologna, Viale del Risorgimento 2, 40136, Bologna, Italy

autor

Nicholas Fantuzzi

• Department of Civil,
  Chemical, Environmental and Materials Engineering - DICAM, University
  of Bologna, Viale del Risorgimento 2, 40136, Bologna, Italy

autor

Alessandro Marzani

• Department of Civil,
  Chemical, Environmental and Materials Engineering - DICAM, University
  of Bologna, Viale del Risorgimento 2, 40136, Bologna, Italy

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Identyfikatory

DOI

10.1515/cls-2015-0003