High-Precision Measurement of Tool-Tip Displacement Using Strain Gauges in Precision Flexible Line Boring

Li, Chen-Jung; Ulsoy, A. Galip

doi:10.1006/mssp.1999.1223

Cited by 54 publications

(40 citation statements)

References 6 publications

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“…This study utilizes piezoceramic sensors, which measure the strain. Li and Ulsoy [22] have plotted strain vs. length of the beam and showed that strain is maximum at the cantilever end of the beam. Thus, the best position for the sensor and actuator is at the cantilever end where the modes can be detected and controlled simultaneously.…”

Section: Experimental Set-upmentioning

confidence: 98%

Multimodal active vibration suppression of a flexible structure by loop shaping

2005

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This paper reports multimodal vibration control of a flexible beam structure with piezoceramic actuators and sensors using the loop shaping method. These piezoceramic patch actuators and sensors are surface-bonded on the flexible beam. The non-parametric identification of the flexible beam structure is carried out using the Schroeder wave. The identified open loop model is then used for loop shaping based on the extended sensitivity charts. A loop shaping compensator is designed to achieve multimodal vibration suppression. Numerical results showed a reduction of 8 decibels for first mode, 12-14 decibels for second and third mode, respectively. Experimental results closely match the simulation results. Furthermore, the results of loop shaping method are compared with those of the methods of LQR (Linear Quadratic Regulator) and pole-placement control, which are designed using state space models. Comparisons show that the loop shaping method requires less control effort while maintaining the effectiveness in vibration suppression.

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Section: Experimental Set-upmentioning

confidence: 98%

Multimodal active vibration suppression of a flexible structure by loop shaping

2005

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“…al. (1) showed, that a small condition number (CN) of a matrix yields good estimation results, the condition number (CN) of the DST was used as an objective function during the optimization of the sensor locations. A small CN of the matrix indicates a small error between measured and estimated displacements if the residual vector is small, too.…”

Section: Andrqglwlrq 1xpehumentioning

confidence: 99%

Dynamic shape estimation by modal approach using fiber Bragg grating strain sensors

et al. 2007

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A possible approach to meet the increasing performance requirements of lightweight structures in various engineering fields is the application of smart structures. One of the functions, which are required, is the observation of the structures' shape. During operation, however, the monitoring of displacement fields is difficult. This paper discusses the displacement field estimation of a dynamically excited plate using fiber Bragg grating strain sensors. Using a modal approach, it is possible to derive a transformation matrix to estimate the displacement field using only a few strain measurements. To reduce systematic estimation errors due to residual modes, a parameter study was performed and the sensor location optimized using the condition number of the transformation matrix as an objective function. An experiment with an optimized sensor configuration including 16 fiber Bragg grating strain sensors was performed to verify the method and the simulation results..H\ZRUGV shape estimation, fiber Bragg grating (FBG), modal approach, displacement-strain relationship, sensor locations ,1752'8&7,21The observation of structural displacements in smart structures is of great interest in various application fields such as tooling machines (1) , airplane wings (2) , or high-precision-and space-reflectors (3) . Since the displacement field is difficult to be measure in a lot of applications, especially during operation, strain data can be used to estimate the displacement field. Various methods for the shape estimation can be found in literature: calibration methods (4) , the use of transfer functions (5) , least-square-fitting algorithms (6) or a modal approach (7) , which is used here. An advantage of this method is the possibility to estimate the displacement field of a structure using strain data from a few discrete positions. A disadvantage is the systematic estimation error due to the residual modes which introduce temporal aliasing. One of the topics of this study is to minimize this error using an appropriate sensor distribution.In order to achieve an improvement of the estimation quality, a parameter study shall show different relationships between designated estimation variables and the estimation quality. Using the information of the parameter study, the sensor locations will be optimized. The effectiveness of the determined sensor locations will be proven by simulations and an experiment.The strain sensing was enabled by multiplexed fiber Bragg grating strain sensors (FBG). They fit well to the mentioned applications, since they are lightweight themselves, immune to electromagnetic disturbances, easy to integrate into composite structures and enable sensing at many positions using only a single fiber.The displacement of a structure can be expressed by using an infinite number of displacement mode shapesφ and the strain by an infinite number of strain mode shapes ψ . Both can be multiplied with the corresponding weighting factors,

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“…Dynamic strain is the numerical summation of the results of strain mode shapes multiplied by modal coordinates, while dynamic deflection is the numerical summation of the results of displacement mode shapes multiplied by modal coordinates. Hence dynamic deflection can be obtained by strain mode shapes [11][12][13][14][15]. Moreover [16], investigated the displacement estimation of a two-dimensional plate based on the modal approach.…”

Section: Introductionmentioning

confidence: 99%

An Indirect Method for Monitoring Dynamic Deflection of Beam-Like Structures Based on Strain Responses

Hong

Qin

et al. 2018

Applied Sciences

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An indirect method for monitoring dynamic deflection of beam-like structures using strain responses measured by long-gauge fiber Bragg grating (FBG) sensors is proposed in this paper. Firstly, a theoretical derivation shows that structural deflection is in direct and linear relationship to long-gauge strain. Meanwhile, the method is suitable for structures with different boundary conditions and irrelevant to external loads. Secondly, the influence of boundary conditions, load type and sensor gauge length on the method is investigated by numerical simulation. Finally, an experiment of a simply supported beam subjected to dynamic loads was designed to verify the method. Experimental results show that both deflection time-history of arbitrary points of structures and deflection distribution along structures at a certain time can be obtained with high-precision. Therefore, the method presented can be a new alternative for the deflection evaluation and maintenance of engineering structures.

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High-Precision Measurement of Tool-Tip Displacement Using Strain Gauges in Precision Flexible Line Boring

Cited by 54 publications

References 6 publications

Multimodal active vibration suppression of a flexible structure by loop shaping

Multimodal active vibration suppression of a flexible structure by loop shaping

Dynamic shape estimation by modal approach using fiber Bragg grating strain sensors

An Indirect Method for Monitoring Dynamic Deflection of Beam-Like Structures Based on Strain Responses

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