...M. Gökhan Günay A mathematical model is developed based on the thin-walled beams theory for free vibration analysis of nano/micro scale beams having nonlocal properties and arbitrary cross sections. Constitutive relations are defined by using two-phase local–nonlocal constitutive formulation...

... and applicability of the theory. It has been shown that the two parameters that characterize the Timoshenko–Ehrenfest beam theory, namely the rotary inertia and the shear deformation, can be related, and hence, they can be combined into one parameter when predicting the beam’s free vibration behavior...

...Patrick Bueno Lamas; Rodrigo Nicoletti Structures with inertia periodicity present the phenomenon of band gap formation, i.e., the appearance of regions in the frequency spectrum with a higher modal spacing and lower vibration response. Rotating machines can also present such phenomenon when...

...-dependent mass and stiffness matrices are presented concisely. The ensuing frequency-dependent mass and stiffness matrices of the Timoshenko–Ehrenfest beam are applied with particular reference to the Wittrick–Williams algorithm to investigate the free vibration characteristics of an individual Timoshenko...

...Wenshuo Ma; Jingjun Yu; Yiqing Yang Low-frequency vibration suppression is challenging in practical engineering problems due to the harsh requirement for vibration reduction devices, which requires constant low stiffness over a wide amplitude range. A passive tuned mass damper (TMD) composed...

...C.Y. Wang Saint-Venant’s method to solve the Poisson equation is applied to the Helmholtz equation which governs membrane vibration. A family of non-circular membrane shapes with N-fold rotational symmetry is presented. Membrane shapes, properties, and fundamental frequencies are tabulated...

...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...

... systems. The traveling waves to such applications occur at specific frequencies, generated by simultaneous symmetric and antisymmetric flexural vibration modes which, in general, have distinct natural frequencies. However, for specific designs, they may coincide or be very close. This may be achieved...

.... , and Brennan , M. J. , 2004 , “ Mobility and Impedance Methods in Structural Dynamics ,” Advanced Applications in Acoustics, Noise and Vibration , F. Fahy and J. Walker , eds., Spon Press , London . [3] Craig , R. R. , 2000 , “ A Brief Tutorial on Substructure Analysis and Testing...

...Ivo Senjanović; Ivan Áatipović; Neven Alujević; Damjan Čakmak; Nikola Vladimir In this paper, a finite strip for vibration analysis of rotating toroidal shells subjected to internal pressure is developed. The expressions for strain and kinetic energies are formulated in a previous paper in which...

... are conducted to investigate the effects of partial support conditions on the in-plane and out-of-plane vibration responses of annular disks with different radius ratios. Numerical results suggested that the nonuniformity of the support along the circumferential directions of the boundaries affects the modal...

... deformation does not dominate vibration of plates. Comparisons are made among Figs. 3( a ) , 3( b ) , and 4( b ) , which show that the first order and Reddy third order plate theories are effective to predict the high-frequency vibroacoustic responses of the stiffened laminated plates. The forced responses...

..., depending on the geometry, we need not take all possible powers. For example, the symmetry of the plate (Fig. 1 ) shows the vibration can exist in only four kinds of modes. Let SS mode denote symmetrical with respect to x and y , the AA mode antisymmetrical with respect to x and y , the SA mode...

... Simulation ,” SAE Technical Paper No. 2006-01-0436. 10.4271/2006-01-0436 [20] Jianjun , H. , Datong , Q. , Yusheng , Z. , and Yonggang , L. , 2009 , “ Study on Natural Torsional Vibration Characteristics of Dual Mass - Flywheel Radial Spring Type Torsional Vibration Damper ,” SAE...

... amplitude vibrations due to the limitation of the geometry and deformation of piezoelectric materials. Linear and rotational electromagnetic generators are the more appropriate choices for large amplitude vibration energy harvesting applications. Figure 1 illustrates a possible construction...

... involve tilting motion. The tilting torque in translational-tilting modes can be used to counteract the external tilting torques T x and T y acting on the rotor and thus reduce rotor-tilting vibrations. This requires derivation of rules for tuning order selection, as done...

... and vibrated in vacuum and in air at atmospheric pressure. The natural frequencies of the membrane computed by analytical and finite element models are correlated well. The natural frequencies increase with mode and prestretch level of the membrane but decrease in air from those in vacuum due to the effect...

... vibration did not occur at a rotating speed of more than twice the major critical speed was confirmed. Based on these findings, an optimally designed magnetic damper with a combined magnet was then developed; consequently, the analytical results agreed well with the experimental results. In addition...

...Yan-Feng Wang; Yue-Sheng Wang The vibration mode (Fig. 4( a ) ) at the lower edge (point C1 in Fig. 2( b ) ) looks like the one at point C2, but the external frame stands still. Based on this fact, an equivalent spring-pendulum model is developed by replacing the mass at the end of the shear...

... formulations of the vibrational particle-laden systems studied in this paper. Notably, the oscillatory nature of E ext induces mechanical and electromagnetic responses. As Ω approaches the cyclotronic frequency, the vibrations grow dramatically, as seen in the plot in Fig. 3...