... modeling are employed to find natural frequencies and mode shapes of such beams. The natural frequencies obtained from the analytical solution and finite element analysis are in close agreement with an error of 6.2% when the variance of material properties gradation is relatively small. In the analytical...

... these parameters. Moreover, in the present work, to investigate the natural frequencies and critical speeds versus λ, δ, and γ, new diagrams are introduced. Also, the relation between the in-plane and out-of-plane motions of the blades with the coupling vibration is precisely analyzed. Fig. 11 The second mode...

..., and moreover, the width of this particular gap is significantly broadened as the order of hierarchy increases. In addition, for the hierarchical honeycombs satisfying an invariable ratio between the thickness and squared length of the cell strut, which is extracted from the expression of the natural frequency...

... results showed that the journal (radial) bearing's position relative to the contact point between the combi-bearing's collar and the rotor influences the rotor system's fundamental natural frequencies. Therefore, the combi-bearing model needs to be included into rotor dynamic models. Neglecting the effect...

... functionally graded materials integro-differential equations shells (structures) stress-strain relations structural acoustics vibrations functionally graded material cylindrical shell natural frequency analytic solution Functionally graded material(FGM) is a kind of composite material...

... influences the dynamic behavior of the machine. The rotor motions’ coupling due to combi-bearing changes the system’s natural frequencies and vibration modes. 27 03 2011 13 07 2011 14 07 2011 28 11 2011 28 11 2011 angular velocity elastic constants hydrodynamics machine...

... principle. Based on the classical bending theory of shells, it is shown that all the piezoelectric contributions can be included in the in vacuo natural frequencies and their corresponding mode shapes. As such, the previous theory on elastic shell vibration becomes readily extendable. The flow field...

... of truss or frame structures. In this study, the MRRM is employed to obtain the frequency response function (FRF) of displacement of a frame under the action of a unit impulse load. The natural frequencies of the frame are determined from the FRF, since the curve of FRF has peak when a resonant frequency...

... is employed in conjunction with an adaptive remeshing scheme to determine the varying natural frequencies and varying mode shapes of workpieces during a cutting process, and to reduce the system equations of motion in terms of nodal variables to coupled equations of motion in terms of the modal coordinates...

...P. W. Wang; C. C. Cheng The purpose of this paper is to introduce a systematic method of designing a vibration absorber that affects vibration attenuation at multiple frequencies. This vibration absorber is a nonprismatic beam with natural frequencies intentionally designed to coincide...

...P. W. Wang, Graduate Research Assistant; C. C. Cheng, Professor, Member ASME A novel method for shifting the natural frequencies of a structure to specific values using structural patches is introduced. When a host structure is bonded with multiple structural patches, its natural frequencies can...

... . Manuscript received Sept. 1999. Associate Technical Editor: A. Vakakis. 01 Sept 1999 Convergence of the natural frequency parameters of the C-S-C-S isotropic rhombic plate φ Q , R Mode 1 Mode 2 Mode 3 1,1 28.9967 55.0499 102.8428 2,2 28.9967 55.0499...