Vibration frequency analysis of an electrically-actuated microbeam resonator accounting for thermoelastic coupling effects

2014 ◽  
Vol 3 (2) ◽  
pp. 157-172 ◽  
Author(s):  
Pierpaolo Belardinelli ◽  
Stefano Lenci ◽  
Lucio Demeio
AIAA Journal ◽  
1995 ◽  
Vol 33 (4) ◽  
pp. 776-778 ◽  
Author(s):  
Dan Givoli ◽  
Omri Rand

Author(s):  
Yi Jia ◽  
Reinaldo E. Madeira ◽  
Frederick Just-Agosto

This paper presents the formulation of a finite element model and vibration frequency analysis of a fluid filled pipe having variable cross sections. The finite element method with consideration of Coriolis force developed in [1] was adopted for frequency analysis of a pipe in this study. The stiffness matrix, the c-matrix (Coriolis force) and mass (for dynamic analysis) matrix that contain all parameters of the fluids properties and flow conditions have been developed. The numerical model was employed to simulate the dynamic performance of the piping system with the specific configurations for an application. A critical relationship between the natural frequencies and pipe geometry has been established. The results of frequencies analysis of the piping system gave us an insight whether a resonance frequency might occur.


Sensors ◽  
2020 ◽  
Vol 20 (3) ◽  
pp. 734
Author(s):  
Zhiguo Wang ◽  
Yi Zhang ◽  
Xiang Zhan ◽  
Qiyuan Jiang ◽  
Hui Luo

Nuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates induce an equivalent magnetic field. Its influence can be described by the Bloch equations. The approximate frequency shift and amplitude of the spin oscillator with an equivalent magnetic field in the cross-axis were obtained, which was validated by numerical simulation. The findings show that the angular vibration component leads to a remarkable error for the NMRG. When the angular vibration frequency is near the Larmor frequency, the oscillation frequency of the spins may be locked to the angular vibration frequency, destroying the NMRG’s ability to measure rotation rates. The cross-axis coupling problem should be considered in the design of an NMRG and corresponding inertial navigation systems.


1989 ◽  
Vol 111 (1) ◽  
pp. 119-120
Author(s):  
K. G. McConnell ◽  
H. Saunders

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