Stability and vibrations of layered, compressible hyperelastic, rectangular columns

Tokdemir, Turgut
Ertepınar, Aybar


Stability and breathing motions of pressurized compressible hyperelastic spherical shells
Akyüz, Uğurhan (Elsevier BV, 2001-10-18)
The stability of homogeneous, isotropic, compressible, hyperelastic, thick spherical shells subjected to external dead-load traction are investigated within the context of the finite elasticity theory. The stability of the finitely deformed state and small, free, radial vibrations about this state are investigated using the theory of small deformations superposed on large elastic deformations. The frequencies of small free vibrations about the pre-stressed state are obtained numerically. The loss of stabili...
Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity
MIEHE, CHRISTIAN; LAMBRECHT, MATTHIAS; Gürses, Ercan (Elsevier BV, 2004-12-01)
We propose an approach to the definition and analysis of material instabilities in rate-independent standard dissipative solids at finite strains based on finite-step-sized incremental energy minimization principles. The point of departure is a recently developed constitutive minimization principle for standard dissipative materials that optimizes a generalized incremental work function with respect to the internal variables. In an incremental setting at finite time steps this variational problem defines a ...
Receptances of non proportionally and continuously damped plates Reduced dampers method
Özgüven, Hasan Nevzat (Elsevier BV, 1982-12-01)
This paper presents a method for the dynamic analysis of continuously and non-proportionally damped plates in bending modes. The damping can be in the form of constrained or unconstrained layers. The method is an extension of the equivalent dampers method discussed in a previous paper, in which the damping matrix of a discretized plate is replaced by a diagonal equivalent damping matrix. Each diagonal element represents an equivalent damper inserted between the structure and ground. In this method the numbe...
Vibrations of open-section channels: A coupled flexural and torsional wave analysis
Yaman, Yavuz (Elsevier BV, 1997-07-03)
An exact analytical method is presented for the analysis of forced vibrations of uniform, open-section channels. The centroid and the shear center of the channel cross-sections considered do not coincide; hence the flexural and the torsional vibrations are coupled. In the context of this study, the type of any existing coupling is defined in terms of the independent motions which are coupled through mass and/or stiffness terms. Hence, if the flexural vibrations in one direction are coupled with the torsiona...
Mechanics of dynamic contact of coated substrate and rigid cylindrical ended punch
Balci, Mehmet N.; Dağ, Serkan (Springer Science and Business Media LLC, 2019-05-01)
The dynamic contact mechanics of isotropic elastic coating bonded to homogeneous substrate was examined. The coating is indented by a sliding rigid punch of a cylindrical profile. The rigid punch moves over the coating at a steady subsonic speed. To determine contact stresses, an analytical method based on the singular integral equation technique is put forward. Governing partial differential equations are derived considering general theory of elastodynamics. The influences of dimensionless punch speed, mas...
Citation Formats
T. Tokdemir and A. Ertepınar, “Stability and vibrations of layered, compressible hyperelastic, rectangular columns,” Journal of Sound and Vibration, pp. 111–120, 1986, Accessed: 00, 2020. [Online]. Available: