Dynamic stability of a viscoelastic beam with frequency-dependent modulus

2005 ◽  
Vol 42 (7) ◽  
pp. 2145-2159 ◽  
Author(s):  
Yan-Shin Shih ◽  
Zi-Fong Yeh
Keyword(s):  
Dynamic Stability ◽  
Viscoelastic Beam ◽  
Frequency Dependent

DYNAMIC STABILITY OF AN AXIALLY ACCELERATING VISCOELASTIC BEAM WITH TWO FIXED SUPPORTS

2006 ◽  
Vol 06 (01) ◽  
pp. 31-42 ◽  
Author(s):  
X.-D. YANG ◽  
L.-Q. CHEN
Keyword(s):  
Dynamic Stability ◽  
Viscosity Coefficient ◽  
Constitutive Law ◽  
Viscoelastic Beam ◽  
Kelvin Model ◽  
Averaged Equations ◽  
Beam Bending ◽  
The Mean ◽  
The Stability ◽  
The Galerkin Method

The dynamic stability of an axially accelerating viscoelastic beam with two fixed supports is investigated. The Kelvin model is used for the constitutive law of the beam. A small simple harmonic is allowed to fluctuate about the constant mean speed applied to the beam, and the governing equation is truncated using the Galerkin method based on the eigenfunctions of the stationary beam. The averaged equations are derived for the cases of subharmonic and combination resonance. Finally, numerical examples are presented to demonstrate the effects of the viscosity coefficient, the mean axial speed and the beam bending stiffness on the stability boundaries.

Dynamic stability of an axially accelerating viscoelastic beam

2004 ◽  
Vol 23 (4) ◽  
pp. 659-666 ◽  
Author(s):  
Li-Qun Chen ◽  
Xiao-Dong Yang ◽  
Chang-Jun Cheng
Keyword(s):  
Dynamic Stability ◽  
Viscoelastic Beam

Axisymmetric Dynamic Stability of Rotating Sandwich Circular Plates

2004 ◽  
Vol 126 (3) ◽  
pp. 407-415 ◽  
Author(s):  
Horng-Jou Wang ◽  
Lien-Wen Chen
Keyword(s):  
Dynamic Stability ◽  
Eigenvalue Problems ◽  
Dynamic Instability ◽  
Equations Of Motion ◽  
Middle Layer ◽  
Outer Edge ◽  
Circular Plates ◽  
Frequency Dependent ◽  
Stiffness Matrices ◽  
Constrained Damping

The axisymmetric dynamic stability of rotating sandwich circular plates with a constrained damping layer subjected to a periodic uniform radial loading along the outer edge of the host plate is studied in the present paper. The viscoelastic material in middle layer is assumed to be frequency dependent and incompressible, and complex representations of moduli are used. Equations of motion of the system are derived by the finite element method where the geometry stiffness matrices induced by rotation and external load are evaluated from solutions of static problems. Bolotin’s method is employed to determine the regions of dynamic instability while the eigenvalue problems with frequency dependent parameters are solved by the modified complex eigensolution method. Numerical results show that the effects of constrained damping layer tend to stabilize the circular plate system and the widths of unstable regions decrease with increasing of rotational speeds.

Dynamic Stability Analysis of Viscoelastic Beam under the Follower Forces

2011 ◽  
Vol 413 ◽  
pp. 283-288
Author(s):  
Rui Hua Zhuo ◽  
Shu Wang Yan ◽  
Lei Yu Zhang
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Stability Analysis ◽  
Power Series ◽  
Dynamic Stability ◽  
Vibration Frequency ◽  
Time Domain ◽  
Differential Operators ◽  
Viscoelastic Beam ◽  
Follower Forces

The unification differential equation of buckling and motion of viscoelastic beam subjected to the uniformly distributed follower forces in time domain was established by differential operators including extension viscosity, shearing viscosity and moment of inertia. According to the unification differential equation, dynamic stability of three-parameter model of viscoelastic beams subjected to follower forces with clamped-free supported boundary condition was firstly analyzed by power series. The relations of the follower force versus vibration frequency and decay coefficient were obtained, so was the effect of viscous coefficient on the critical load of beams.

Molecular insights on the dynamic stability of peptide nucleic acid functionalized carbon and boron nitride nanotubes

2021 ◽  
Vol 23 (1) ◽  
pp. 219-228
Author(s):  
Nabanita Saikia ◽  
Mohamed Taha ◽  
Ravindra Pandey
Keyword(s):  
Nucleic Acid ◽  
Boron Nitride ◽  
Nucleic Acids ◽  
Dynamic Stability ◽  
Peptide Nucleic Acid ◽  
Rational Design ◽  
Peptide Nucleic Acids ◽  
Boron Nitride Nanotubes ◽  
Molecular Hybrids ◽  
Single Wall Nanotubes

The rational design of self-assembled nanobio-molecular hybrids of peptide nucleic acids with single-wall nanotubes rely on understanding how biomolecules recognize and mediate intermolecular interactions with the nanomaterial's surface.

When Rows Look Like Columns: Dynamic Stability of Grouping by Proximity

2000 ◽  
Author(s):  
Helena Kadlec ◽  
Iris Van Rooij ◽  
Valerie A. Gonzales
Keyword(s):  
Dynamic Stability
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