...Dongqi An; Zhuofan Ni; Dian Xu; Rui Li This study presents new straightforward benchmark solutions for bending and free vibration of clamped anisotropic rectangular thin plates by a double finite integral transform method. Being different from the previous studies that took pure trigonometric...

...C. Mei This paper concerns in-plane vibration analysis of coupled bending and longitudinal vibrations in L-shaped and portal planar frame structures. An exact analytical solution is obtained using wave vibration approach. The classical Euler-Bernoulli as well as the advanced Timoshenko bending...

...Arnaldo J. Mazzei, Jr.; Richard A. Scott The effect of functionally graded materials (FGMs) on resonances of bending shafts under time-dependent axial loading is investigated. The axial load is taken to be a sinusoidal function of time and the shaft is modeled via an Euler–Bernoulli beam approach...

... for radial, bending, and torsion motions of a flexible drill string and stick-slip interactions between the drill string and an outer shell. Qualitative changes in the system motions are studied with respect to the rotation speed of the drill string and the friction coefficient between the drill string...

...Masoud Ansari; Ebrahim Esmailzadeh; Nader Jalili An exact frequency analysis of a rotating beam with an attached tip mass is addressed in this paper while the beam undergoes coupled torsional-bending vibrations. The governing coupled equations of motion and the corresponding boundary condition...

... mode, associated to the frequency of interest. In this work, this relationship is studied based on a finite element of a slender sheet metal piece, with preponderant bending modes. It is shown that higher sensitivities always occur at nodes or antinodes of the vibrating system. The noise, vibration...

... nonflatness is assumed to be axisymmetric, only eigenfunctions with no nodal diameters are considered to approximate the initial runout. It is supposed that the disk bending deflection is small compared with disk thickness, so we can ignore the second-order terms in the governing equations corresponding...

... connected by four tangent ligaments, leading to a negative Poisson’s ratio (auxetic) behavior in the plane due to combined cylinder rotation and bending of the ribs. A Bloch wave approach is applied to the representative unit cell of the honeycomb to calculate the dispersion characteristics and phase...

...L. Rubio; J. Fernández-Sáez The main goal of this note is to discuss the applicability of approximate closed-form solutions to evaluate the natural frequencies for bending vibrations of simply supported Euler–Bernoulli cracked beams. From the well-known model, which considers the cracked beam...

... truss in bending and nodal deflections A view of the fundamental repeating element and the joints for this study are shown in Fig. 3 . The derivations for the strain energy of the repeating element are outlined in this section. The complete details for the strain energy derivations can be found...

...Tongan Wang; Shan Li; Shankar Rajaram; Steven R. Nutt A statistical energy analysis (SEA) approach is used to predict the sound transmission loss (STL) of sandwich panels numerically. Unlike conventional SEA studies of the STL of sandwich panels, which consider only the antisymmetric (bending...

... equations are derived for the cyclic shear forces as well as the bearing and thread friction torque components. They depend on the ratio of the relative rotational to translational velocities. The relationship between the dynamic thread shear force and bending moment is developed. When the external...

... of the uncoupled beam ( f n 1 ) , the flexural impedance of the coupled beam becomes very small whose magnitude is in the same order or smaller than that of the plate bending impedance. For this group of modes, the beam behaves more like a mass attachment to the plate vibration rather than...

... variation of damping as a function of frequency, can be accommodated within the framework of standard finite element modeling and vibration analysis of linear systems. 27 07 2006 28 02 2007 06 01 2009 beams (structures) bending cantilevers continuum mechanics damping elastic...

...C. Mei This paper concerns in-plane vibration analysis of coupled bending and longitudinal vibrations in H- and T-shaped planar frame structures. An exact analytical solution is obtained using wave vibration approach. Timoshenko beam theory, which takes into account the effects of both rotary...

...Simon Chesne; Charles Pezerat; Jean-Louis Guyader This work deals with the identification of forces at plate boundaries, by measuring displacements only. Shear force and bending moment directly depend on different spatial derivatives of displacement at plate boundaries that can be approximated from...

... inertia systems, where lower vibration modes are changed by the variable inertia system adapting to the lack of modes in identification of unknown parameters. It is shown that the identification error of the bending stiffness and mass per unit length of the beam are ranging from about 8% to 12% and 1...

... , Q m = Q ̃ m P 0 r t , M i = M ̃ i P 0 r i where t ̃ is time, P 0 is the uniform belt tension for the stationary belt system with zero accessory torques, E I is the bending stiffness, E A is the belt modulus...

... in the identification algorithm. The Euler–Bernoulli beam theory is used to model the beam. The crack of the beam is modeled through standard five crack flexibility coefficients, by considering bending effects only. Damping is assumed to be Rayleigh’s damping. The finite element method is used in the simulation...

...Tommy H.T. Chan; Demeke B. Ashebo Laboratory study on the identification of moving vehicle axle loads on a multi-span continuous bridge from the measured bending moment responses is presented. A bridge-vehicle system model was fabricated in the laboratory. The bridge was modeled as a three span...