A DQ based approach to simulate the vibrations of buckled beams
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Publication:842199
DOI10.1007/s11071-006-9141-xzbMath1181.74057OpenAlexW2052333911MaRDI QIDQ842199
Publication date: 22 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-006-9141-x
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
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Cites Work
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- Experimental investigation of single-mode responses in a fixed-fixed buckled beam
- Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates
- On the discretization of distributed-parameter systems with quadratic and cubic nonlinearities
- The role of higher modes in the chaotic motion of the buckled beam. I. II
- On the nonlinear dynamics of a buckled beam subjected to a primary-resonance excitation
- A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
- Simulating non-linear coupled oscillators by an iterative differential quadrature method
- A generalization of the IDQ method and a DQ-based approach to approximate non-smooth solutions in structural analysis
- Finite element analysis of nonlinear oscillators
- Application of differential quadrature to static analysis of structural components
- A nonlinear oscillator with a strange attractor
- A magnetoelastic strange attractor
- Stability and accuracy of the iterative differential quadrature method
- Investigation of natural frequencies and mode shapes of buckled beams
- ON OPTIMAL SELECTION OF INTERIOR POINTS FOR APPLYING DISCRETIZED BOUNDARY CONDITIONS IN DQ VIBRATION ANALYSIS OF BEAMS AND PLATES
- Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation
