Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation

• Autorzy: Hareram Lohar , Anirban Mitra , Sarmila Sahoo
• Języki publikacji: EN

Abstrakty

EN

In the present study non-linear free vibration analysis is performed on a tapered Axially Functionally Graded (AFG) beam resting on an elastic foundation with different boundary conditions. Firstly the static problem is carried out through an iterative scheme using a relaxation parameter and later on the subsequent dynamic problem is solved as a standard eigen value problem. Minimum potential energy principle is used for the formulation of the static problem whereas for the dynamic problem Hamilton’s principle is utilized. The free vibrational frequencies are tabulated for different taper profile, taper parameter and foundation stiffness. The dynamic behaviour of the system is presented in the form of backbone curves in dimensionless frequency-amplitude plane.

Słowa kluczowe

EN

Axially functionally graded beam; Elastic foundation; Large amplitude; Energy principles; Geometricnonlinearity; Backbone curve

• Wydawca: De Gruyter Open
• Czasopismo: Curved and Layered Structures
• Rocznik: 2016
• Tom: 3
• Numer: 1

Daty

otrzymano

2016-05-04

zaakceptowano

2016-06-10

online

2016-09-20

Twórcy

autor

Hareram Lohar

• Department of Mechanical Engineering, Heritage Institute of Technology, Kolkata 700107, India

autor

Anirban Mitra

• Department of Mechanical Engineering, Jadavpur University, Kolkata 700032, India

autor

Sarmila Sahoo

• Department of Civil Engineering, Heritage Institute of Technology, Kolkata 700107, India

Identyfikatory

DOI

10.1515/cls-2016-0018