Showing papers on "Timoshenko beam theory published in 1981"
TL;DR: In this paper, a new theory for beams of rectangular cross-section which includes warping of the cross-sections is presented, and results for two typical static examples are given for both the new theory and Timoshenko beam theory.
471 citations
TL;DR: In this paper, a hierarchy of beam elements which include the effects of transverse shear deformation and rotary inertia is presented, and a series of constrained elements can be generated by imposing a continuous shear constraint condition on each member of the beam element family.
193 citations
57 citations
TL;DR: In this paper, it was shown that equivalence requires the inclusion of rotatory inertia, shear deflection, lateral contraction inertia and transverse direct stress corrections to the Euler-Bernoulli beam theory.
35 citations
30 citations
01 Nov 1981
TL;DR: In this paper, the authors discuss parameter estimation techniques for distributed systems such as the Euler-Bernoulli and Timoshenko equations of elasticity, based on cubic and quintic spline approximation schemes formulated in the context of a general functional analytic framework for abstract equations in Hilbert spaces.
Abstract: : The authors discuss parameter estimation techniques for distributed systems such as the Euler-Bernoulli and Timoshenko equations of elasticity. The methods are based on cubic and quintic spline approximation schemes formulated in the context of a general functional analytic framework for abstract equations in Hilbert spaces. A number of examples with numerical results are presented to demonstrate efficacy of the techniques. (Author)
19 citations
20 Aug 1981
10 citations
TL;DR: In this article, a finite element model of the dynamics of limb agreement harvesting is presented based upon linearized beam theory and accounts for transverse shear and includes consideration of the leaves, twigs, secondary branches and fruits.
Abstract: A finite element model of the dynamics of limb im-pact harvesting is presented. The model is based upon linearized beam theory and accounts for transverse shear and includes consideration of the leaves, twigs, secondary branches and fruits. The specific fruit of in-terest is modelled as a spherical pendulum. Newmark's direct integration scheme was used to obtain the tran-sient response.
9 citations
TL;DR: In this article, an analytical model based on the elasticity equations was proposed to investigate wave propagation in generally orthotropic beams, where the authors obtained approximate solutions to the elasticities equations using the finite element method.
9 citations
TL;DR: In this paper, the authors present an exact solution of the title problem using classical beam theory, assuming that the tip mass is guided in such a way that the end of the beam does not rotate.
7 citations
TL;DR: In this article, the effects of the moving speed of dynamic loads on the deflection and the bending moment of the gear tooth are investigated from the elastodynamic analysis of the tapered Timoshenko beam.
Abstract: For the dynamic response problems of gear teeth, the dynamic loads which act upon the gear teeth should be considered as a function of both the position and the moving speed. In previous studies, the effects of the moving speed have not been considered. In this paper the effects of the moving speed of dynamic loads on the deflection and the bending moment of the gear tooth are investigated. The results are obtained from the elastodynamic analysis of the tapered Timoshenko beam.
TL;DR: In this article, the authors derived the critical velocities of the Timoshenko beam with and without axial stress and compared with that obtained using Euler-Bernoulli beam formulation.
TL;DR: In this article, the effects of generalized joint properties on the natural frequencies and mode shapes are studied for a wide range of natural frequencies by modeling the structure as a Timoshenko continuous system with discretized joints.
TL;DR: In this paper, the dynamics of multiple cylindrical elastic beams in a horizontal fluid layer are examined, and the hydrodynamic interaction forces on the cylinders, due to the base motion of the entire array, are formulated, and these forces are applied to an elastodynamic beam equation to investigate both the beam-fluid and the beamfluid-beam interaction.
Abstract: The dynamics of multiple cylindrical elastic beams in a horizontal fluid layer are examined. The hydrodynamic interaction forces on the cylinders, due to the base motion of the entire array, are formulated, and these forces are applied to an elastodynamic beam equation to investigate both the beam-fluid and the beam-fluid-beam interaction. The fluid is taken to be water and is assumed to be linearly compressible and represented by potential flow theory. The cylindrical beams are modeled by Euler-Bernoulli beam theory. The hydrodynamic force distribution, mode shapes, and the frequency response of the beams to harmonic base excitation are presented. The multiple cylinder fluid interaction has significant effects in the dynamic response of the system, particularly for frequencies higher than the first natural frequency of a free beam. The interaction response is strongly dependent on the direction of the base excitation.
TL;DR: In this paper, the propagation of disturbances through connected beams is considered using finite element theory: the Timoshenko beam model is considered since it exhibits the correct propagation behaviour in single beams, and three joint models are introduced into the model, namely the rigid block model, the filament model and finally a flexible joint model.
TL;DR: In this article, the Double Laplace Transform (DLT) was applied to the evaluation of transient responses and frequency responses of a semi-infinite Timoshenko beam, and a numerical DLT inversion algorithm was employed to give the temporal and spatial responses.
01 Jan 1981
TL;DR: In this paper, the elastic-plastic finite element investigations of rectangular double cantilever beam (rdcb) specimen are conducted for crack initiation, propagation and arrest studies in brittle and ductile structural materials.
Abstract: In recent years, the finite element method (fem) has been employed for analysis of structures with cracks, and many successful applications have been made (see rewiew papers [1–3]) for fracture mechanics specimens exhibiting non-linear material behaviour. The present paper is concerned with elastic-plastic finite element investigations of rectangular double cantilever beam (rdcb) specimen shown in Fig. la. This type of wedge-loaded test specimen is frequently used for crack initiation, propagation and arrest studies in brittle and ductile structural materials [4, 5]. When stress intensities and dynamic toughnesses are predicted from measured displacements and crack lengths using the approximate one dimensional models [5–7] based on beam theory, there are two major sources of error: (1) the models assume the load acts perpendicular to the crack line. Wedge loading introduce a component parallel to the crack causing a perturbation of the displacements near the loading points (2) the models assumes that the applied load is distributed uniformly over the beam height which is not actually true because the load is applied via pins to holes in the specimen arms, - Fig. 1.