...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 Classification of Techniques ,” Am. Inst. Aeronaut. Astronaut. J. , 46 ( 5 ), pp. 1169 – 1181 . 10.2514/1.33274 [2] Gardonio , P. , and Brennan , M. J. , 2004 , “ Mobility and Impedance Methods in Structural Dynamics ,” Advanced Applications in Acoustics, Noise and Vibration , F. Fahy...

...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...

... 10.486 10.986 13.391 This study was supported by the National Natural Science Foundation of China (No. 11302124), the Doctoral Subject Foundation of Education Ministry (No. 20133121120003), the Open Foundation of State Key Laboratory of Mechanical Systems and Vibration (No. MSV201410...

...C. Y. Wang The study of the vibration of thin plates is fundamental in structural design. An excellent source for the transverse vibration of plates of various shapes can be found in the seminal work of Leissa [ 1 ]. Common boundary conditions include clamped, simply supported, or free edges. We...

... vibration to the open synchronizer mechanism, the model is re-evaluated by only considering the frequency dependent engine torque components, thus (19) T E = A 1 T E 0 sin ( n 1 θ · 1 t ) + A 2 T E 0 sin ( n 2 θ...

..., 2013; published online November 20, 2013. Assoc. Editor: Brian P. Mann. 12 06 2012 28 09 2013 Existing design criteria for vibration energy harvesting systems provide guidance on the appropriate selection of the seismic mass and load resistance. To harvest maximum power in resonant...

... This paper investigates the vibration mode structure of three-dimensional, cyclically symmetric centrifugal pendulum vibration absorber (CPVA) systems. The rotor in the system has two translational, one rotational, and two tilting degrees of freedom. The equations of motion for the three-dimensional model...

... 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...

.... Chao. 28 08 2011 15 03 2013 References [1] Okada , Y. , Nagai , B. , and Matsuda , K. , 1985 , “ Application of Electro-Magnetic Damper for Reducing the Rotor Vibration ,” Trans. Jpn. Soc. Mech. Eng. , 51 ( 467 ), pp. 1760 – 1764 (in Japanese). 10.1299/kikaic...

... the geometry of the resonators. By the careful design of the shape and size of the resonator, a bandgap that is lower by an order of magnitude than the Bragg bandgap can be obtained. The vibration modes at the band edges of the lowest bandgaps are analyzed in order to understand the mechanism of the bandgap...

... to observe the cyclotronically-dominated resonant frequency and associated beat phenomena, which arises due to the presence of mechanical and electromagnetic harmonics in the material system. particulate composites electromagnetics vibration The motivation for this analysis...