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	Force-frequency relation and its nonlinearity of double-ended tuning fork
	Chen Zhi-yong ; Zhou Bin ; Zhang Rong ; Guo Mei-feng
	2010-10-12 ; 2010-10-12
关键词	Practical Theoretical or Mathematical/ accelerometers bending polynomial approximation signal processing equipment vibrations/ force-frequency relation double-ended tuning fork nonlinearity vibrating beam accelerometer bending vibration differential equation polynomial approximation method/ A0630G Velocity, acceleration and rotation measurement A0710 Mechanical instruments, equipment, and techniques B7320E Velocity, acceleration and rotation measurement B7230 Sensing devices and transducers B7220 Signal processing and conditioning equipment and techniques
中文摘要	Quartz or silicon vibrating beam accelerometers use Double-ended tuning fork(DETF) as the sensitive structure. The purpose of the paper is to establish the precision relations between the force and the natural frequency of DETF, as well as between the frequency difference of differential DETF and the force, and develop the correlation between measurement range and nonlinearity of the structure. Based on the bending vibration differential equation, the relation between the axial force and the natural frequency of double ended beam was deduced. Polynomial approximation method was adopted to fit the numerical result. Then approximation polynomials describing the relation between the axial force and the frequency difference of DETF were derived. Fitting error of the 5-order polynomials of the beam and DETF are 0.0056% and 0.0015% respectively. A formula about the relation between the measurement range and the nonlinearity of the structure was obtained.
语种	中文
出版者	Editorial Department of the Journal of Chinese Inertial Technology ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/80283]
专题	清华大学
推荐引用方式 GB/T 7714	Chen Zhi-yong,Zhou Bin,Zhang Rong,et al. Force-frequency relation and its nonlinearity of double-ended tuning fork[J],2010, 2010.
APA	Chen Zhi-yong,Zhou Bin,Zhang Rong,&Guo Mei-feng.(2010).Force-frequency relation and its nonlinearity of double-ended tuning fork..
MLA	Chen Zhi-yong,et al."Force-frequency relation and its nonlinearity of double-ended tuning fork".(2010).

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