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At least 217 records · Page 12

Nonlinear axisymmetric flexural vibration of spherical shells

Axisymmetric responses are presented of a nonshallow thin-walled spherical shell on the basis of nonlinear bending theory. An ordinary differential equation with nonlinearity of quadratic as well as cubic terms associated with variable time is derived. The derivation is based on the assumption that the deflection mode is the sum of four Legendre polynomials, and the Galerkin procedure is applied. The equation is solved by asymptotic expansion, and a first approximate solution is adopted. Unstable regions of this solution are discussed.

Kunieda, H.↗

In-plane, flexural, twisting and thickness-shear coefficients for stiffness and damping of a monolayer filamentary composite, part 1

Elastic and damping analyses resulting in determinations of the various stiffnesses and associated loss tangents for the complete characterization of the elastic and damping behavior of a monofilament composite layer are presented. For the determination of the various stiffnesses, either an elementary mechanics-of-materials formulation or a more rigorous mixed-boundary-value elasticity formulation is used. The solution for the latter formulation is obtained by means of the boundary-point least-square error technique. Kimball-Lovell type damping is assumed for each of the constituent materials. For determining the loss tangents associated with the various stiffnesses, either the viscoelastic correspondence principle or an energy analysis based on the appropriate elastic stress distribution is used.

Bert, C. W.↗

The dynamic flexural response of propeller blades

The determination of the torsional constants of three blade models having NACA four-digit symmetrical airfoil cross sections is presented. Values were obtained for these models analytically and experimentally. Results were also obtained for three other models having rectangular, elliptical, and parabolic cross sections. Complete modal analyses were performed for five blade models. The identification of modal parameters was done for cases when the blades were modeled as either undamped or damped multi-degree-of-freedom systems. For the experimental phase of this study, the modal testing was performed using a Dual Channel FFT analyzer and an impact hammer (which produced an impulsive excitation). The natural frequency and damping of each mode in the frequency range up to 2 kHz were measured. A small computer code was developed to calculate the dynamic response of the blade models for comparison with the experimental results. A comparison of the undamped and damped cases was made for all five blade models at the instant of maximum excitation force. The program was capable of handling models where the excitation forces were distributed arbitrarily along the length of the blade.

Djordjevic, S. Z.↗

Unidirectional flexural pivot

A pair of generally coaxial mutually rotatable cylindrical outer ring members are held in spaced-apart relationship by three parallelogram-shaped, relatively thin, flexible, flat planar spring elements. These spring elements are substantially inextensible in length and are joined to the inside of the outer ring members and held in position by arcuate inner ring segments, three for each outer ring members, which respectively span an arc of substantially 120. The parallelogram shape of the spring elements provides a slanted interconnection between the outer ring members. The direction of slant, moreover, determines in which direction the spring elements can flex or bend unidirectionally to relieve the compression stress imparted thereto by any mutual angular rotation of the outer ring members.

Bahiman, H.↗

Dynamic stress analysis of smooth and notched fiber composite flexural specimens

A detailed analysis of the dynamic stress field in smooth and notched fiber composite (Charpy-type) specimens is reported in this paper. The analysis is performed with the aid of the direct transient response analysis solution sequence of MSC/NASTRAN. Three unidirectional composites were chosen for the study. They are S-Glass/Epoxy, Kevlar/Epoxy and T-300/Epoxy composite systems. The specimens are subjected to an impact load which is modeled as a triangular impulse with a maximum of 2000 lb and a duration of 1 ms. The results are compared with those of static analysis of the specimens subjected to a peak load of 2000 lb. For the geometry and type of materials studied, the static analysis results gave close conservative estimates for the dynamic stresses. Another interesting inference from the study is that the impact induced effects are felt by S-Glass/Epoxy specimens sooner than Kevlar/Epoxy or T-300/Epoxy specimens.

Murthy, P. L. N.↗

Flexure of the continental lithosphere beneath Apennine and Carpathian foredeep basins

The preservation of foredeep basins after an associated mountain belt has been greatly reduced by erosion suggests that an additional load must act on the subducted slab's lithosphere independently of topography. This hypothesis is presently tested for the case of young orogenic belts, through the construction of transects through the Apennine and outer Carpathian thrust belts of the Mediterranean region. A simple elastic model is used to show that the topographic loads present along the transects are not sufficient to cause the observed plate deflection, suggesting that an additional load or downward force is acting on the plate to generate the plate deflection observed. It is proposed that this extra load is due either to the negative buoyancy contrast between the subducted slab and the asthenosphere, or to the crustal structure's modification by backarc rifling in the hinterland.

Royden, L.↗