Effect of Mass Added to a Force Transducer on the Dynamic-Force Correction Method

Dynamic-error caused by the mass attached to the sensing part of a force transducer is experimentally investigated using the Levitation Mass Method (LMM), in which the dynamic-force applied to the force transducer is measured based on the definition of force, i.e. the product of mass and acceleration. It is experimentally proved that the change in the dynamic correction coefficient (DCC) is proportional to the additional mass as expected by the theory. The effective mass and the effective spring constant of the transducer with the additional mass are estimated from the experimental result. It is experimentally proved that the DCC for the transducer with the additional mass can be calculated using the estimated properties, i.e. the effective mass and the effective spring constant, and the dynamic-error can be corrected with the calculated DCC.

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Effective Spring Constant of Bubbles and Droplets

Langmuir ◽

10.1021/la010969g ◽

2001 ◽

Vol 17 (26) ◽

pp. 8217-8223 ◽

Cited By ~ 73

Author(s):

Phil Attard ◽

Stan J. Miklavcic

Keyword(s):

Spring Constant ◽

Effective Spring Constant

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Fabrication of Diamond Micro Tool Array (DMTA) for Ultra-Precision Machining of Brittle Materials

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.329.737 ◽

2007 ◽

Vol 329 ◽

pp. 737-742 ◽

Cited By ~ 3

Author(s):

Qing Liang Zhao ◽

Da Gang Xie ◽

Ekkard Brinksmeier ◽

Otmann Riemer ◽

Kai Rickens

Keyword(s):

Grain Size ◽

Brittle Materials ◽

Force Transducer ◽

Coarse Grained ◽

Experimental Result ◽

Grinding Wheel ◽

Diamond Grinding ◽

Ductile Machining ◽

Wheel Topography ◽

Micro Tool

A novel conditioning technique to precisely and effectively condition the nickel electroplated mono-layer coarse-grained diamond grinding wheel of 91m grain size was developed to fabricate a Diamond Micro Tool Array (DMTA) in ductile machining of brittle materials. During the fabricating process, a copper bonded diamond grinding wheels (91m grain size) dressed by ELID (electrolytic in-process dressing) was applied as a conditioner, a force transducer was used to monitor the conditioning force, and a coaxial optical distance measurement system was used to insitu monitor the modified wheel surface status. The experimental result indicates that the newly developed conditioning technique is applicable and feasible to generate required wheel topography of less than 2μm run-out error and grain geometries. The taper cutting test on BK7 proves the fabricated DMTA is capable of realizing ductile machining of brittle materials.

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Effective Spring Constant for Planar Arrays of Circular Cracks

International Journal of Damage Mechanics ◽

10.1177/105678959500400106 ◽

1995 ◽

Vol 4 (1) ◽

pp. 103-116 ◽

Cited By ~ 2

Author(s):

X. Huang ◽

B. L. Karihaloo ◽

L. R. F. Rose

Keyword(s):

Spring Constant ◽

Planar Arrays ◽

Effective Spring Constant ◽

Circular Cracks

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Finding the Effective Mass and Spring Constant of a Force Probe from Simple Harmonic Motion

The Physics Teacher ◽

10.1119/1.4942130 ◽

2016 ◽

Vol 54 (3) ◽

pp. 138-141 ◽

Cited By ~ 1

Author(s):

Nathaniel R. Greene ◽

Tom Gill ◽

Stephen Eyerly

Keyword(s):

Effective Mass ◽

Spring Constant ◽

Harmonic Motion ◽

Simple Harmonic Motion

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Calibration of the effective spring constant of ultra-short cantilevers for a high-speed atomic force microscope

Measurement Science and Technology ◽

10.1088/0957-0233/26/6/065001 ◽

2015 ◽

Vol 26 (6) ◽

pp. 065001 ◽

Cited By ~ 8

Author(s):

Yun-Peng Song ◽

Sen Wu ◽

Lin-Yan Xu ◽

Jun-Ming Zhang ◽

Dante J Dorantes-Gonzalez ◽

...

Keyword(s):

Atomic Force Microscope ◽

High Speed ◽

Spring Constant ◽

Atomic Force ◽

Effective Spring Constant

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Dynamic Force Transducer Calibration Based on Electrostatic Force

IEEE Access ◽

10.1109/access.2019.2910121 ◽

2019 ◽

Vol 7 ◽

pp. 48998-49003 ◽

Cited By ~ 2

Author(s):

Yelong Zheng ◽

Meirong Zhao ◽

Jile Jiang ◽

Le Song

Keyword(s):

Electrostatic Force ◽

Force Transducer ◽

Dynamic Force ◽

Transducer Calibration

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A traceable dynamic force transducer

Experimental Mechanics ◽

10.1007/bf02410241 ◽

1990 ◽

Vol 30 (2) ◽

pp. 152-157 ◽

Cited By ~ 8

Author(s):

Michael J. Dixon

Keyword(s):

Force Transducer ◽

Dynamic Force

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Spring constant of a tuning-fork sensor for dynamic force microscopy

Beilstein Journal of Nanotechnology ◽

10.3762/bjnano.3.90 ◽

2012 ◽

Vol 3 ◽

pp. 809-816 ◽

Cited By ~ 15

Author(s):

Dennis van Vörden ◽

Manfred Lange ◽

Merlin Schmuck ◽

Nico Schmidt ◽

Rolf Möller

Keyword(s):

Tuning Fork ◽

Quartz Tuning Fork ◽

Simple Calculation ◽

Spring Constant ◽

Thermal Excitation ◽

Dynamic Force ◽

Mechanical Measurement ◽

Force Microscopy ◽

Real Geometry ◽

The Difference

We present an overview of experimental and numerical methods to determine the spring constant of a quartz tuning fork in qPlus configuration. The simple calculation for a rectangular cantilever is compared to the values obtained by the analysis of the thermal excitation and by the direct mechanical measurement of the force versus displacement. To elucidate the difference, numerical simulations were performed taking account of the real geometry including the glue that is used to mount the tuning fork.

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Dynamic Correction of the Influence of Long Measuring Path Irregularity in Antenna Tests

Applied Sciences ◽

10.3390/app11178183 ◽

2021 ◽

Vol 11 (17) ◽

pp. 8183

Author(s):

Elena Dobychina ◽

Mikhail Snastin

Keyword(s):

Reflection Coefficient ◽

Error Correction ◽

Dynamic Error ◽

Beam Shaping ◽

Theoretical Background ◽

Dynamic Correction ◽

Electrical Length ◽

Mathematical Expressions ◽

Electronically Scanned Arrays ◽

Dynamic Measuring

This article investigates the influence of random microwave discontinuities on the characteristics of long transmission paths. This is most important for dynamic measuring stands, accompanied by multiple space movement of long transmission paths with their bending or twisting during the measurement process. In modern active electronically scanned arrays this issue also becomes relevant, due to increased requirements for the accuracy of beam shaping. The aim of this study is to develop a theoretical background and perform experimental verification for taking into account the effect of random microwave discontinuities on the transmission path characteristics. A method for correcting the effect of such irregularities is considered based on electrical length control by measuring the input reflection coefficient. Relations for the magnitude and phase of the path’s input reflection coefficient depending on the S-parameters of a long four-terminal network terminated with mismatched load are obtained and plotted. Using theory of sensitivity, the mathematical expressions of conditions were obtained to achieve maximum accuracy of measuring the electrical length of a long microwave path. The possibility of dynamic error correction in antenna measurements with a long test path caused by random microwave irregularities along it has been experimentally proved.

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ELID Assisted Precision Conditioning of Coarse-Grained Diamond Grinding Wheel

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.364-366.578 ◽

2007 ◽

Vol 364-366 ◽

pp. 578-583 ◽

Cited By ~ 1

Author(s):

Qing Liang Zhao ◽

Ekkard Brinksmeier ◽

Otmann Riemer ◽

Kai Rickens

Keyword(s):

Optical Glass ◽

Diamond Wheel ◽

Force Transducer ◽

Coarse Grained ◽

Experimental Result ◽

Grinding Wheel ◽

Wheel Surface ◽

Diamond Grinding Wheel ◽

Diamond Grinding ◽

Ductile Machining

In order to realize ductile machining of optical glasses using mono-layer nickel electroplated coarse-grained diamond grinding wheel, a novel conditioning technique features using a copper bonded diamond grinding wheels of 15m grain size dressed by ELID (electrolytic inprocess dressing) to condition the 46m grain sized diamond wheel has been developed. During the conditioning process, a force transducer was used to monitor the conditioning force, a coaxial optical distance measurement system was used to in-situ monitor the modified wheel surface status. White-light interferometry (WLI), scanning electron microscopy (SEM) and atomic force microscopy (AFM) were used to characterize the conditioned wheel surface status as well as the ground optical glass surface topography correspondingly. The experimental result indicates that a minimized wheel radial run-out error of less than 2μm as well as the top-flattened diamond grains of constant wheel peripheral envelop profile were generated on a 5-axis ultra-precision machine tool. The grinding experiment proved that the well conditioned 46μm coarse-grained diamond wheel can be used in realizing the ductile grinding of optical glass BK7, which indicates that the newly developed conditioning technique is feasible and applicable to introduce the coarse-grained diamond wheels into precision machining of brittle and hard-to-machine materials.

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