1998
DOI: 10.1063/1.367242
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Flexural plate wave resonator excited with Lorentz forces

Abstract: A flexural plate wave resonator was constructed by patterning current lines on a silicon nitride membrane suspended on a rectangular silicon frame. Eigenmodes of the rectangular membrane were excited using Lorentz forces generated between alternating surface currents and a static in-plane magnetic field. Preferential coupling to a particular membrane mode was achieved by positioning current lines along longitudinal mode antinodes. An equivalent-circuit model was derived which characterizes the input impedance … Show more

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Cited by 32 publications
(18 citation statements)
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“…There are many articles describing transducers for the measurement of density and viscosity fabricated by the methods of MEMS in the archival literature, and here we give four examples. Andrews and Harris [13] have described a device with two parallel plates, each supported by beams, that are oscillated normal to each other to determine the viscosity of gases while Martin et al [14] presented a flexural plate wave resonator, fabricated on a silicon nitride membrane, to determine density. There are also fluid-filled vibrating U-tube densimeters fabricated with MEMS albeit with a square rather than the traditional circular cross section [15][16][17].…”
Section: Introductionmentioning
confidence: 99%
“…There are many articles describing transducers for the measurement of density and viscosity fabricated by the methods of MEMS in the archival literature, and here we give four examples. Andrews and Harris [13] have described a device with two parallel plates, each supported by beams, that are oscillated normal to each other to determine the viscosity of gases while Martin et al [14] presented a flexural plate wave resonator, fabricated on a silicon nitride membrane, to determine density. There are also fluid-filled vibrating U-tube densimeters fabricated with MEMS albeit with a square rather than the traditional circular cross section [15][16][17].…”
Section: Introductionmentioning
confidence: 99%
“…Because the damping is so low during vacuum operation of these devices they are also easily overdriven, which causes amplitude-dependent stiffening and an accompanying increase in the resonant frequency 6 . This behavior is shown in Fig.…”
Section: Fundamental Mode Resonatorsmentioning
confidence: 99%
“…(13) and (8)]. In the calculation we use the D, T o , and ρ s values determined for the particular device 6 , along with the membrane dimensions. The calculated response, in qualitative agreement with the measured response, shows that the fundamental transverse mode (m,1) is most strongly excited; odd-order transverse modes (m,n) are excited at successively higher frequencies, but with diminishing amplitudes.…”
Section: ) 11mentioning
confidence: 99%
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“…Lorentz force excitation eliminates many of the processing and integration difficulties associated with the piezoelectric thin film materials. 16 The operation of the mag-FPW resonator has been described in detail in Reference 16 and is illustrated in Figure 29. The device is formed by (1) depositing a low-stress silicon-nitride (SiN) layer on both sides of a <100> silicon substrate, (2) patterning a square or rectangular opening in the backside SiN layer, (3) patterning a meander-line current conductor on the front surface SiN layer (centered with respect to the rectangular opening on the backside), and (4) performing an anisotropic silicon etch to remove the silicon below the membrane.…”
mentioning
confidence: 99%