Input Forces Estimation of Beam Structures by an Inverse Method

Ma, Chih-Kao; Chang, Jui-Chi; Lin, Dong-Cherng

doi:10.1006/jsvi.2002.5334

Cited by 116 publications

(57 citation statements)

References 14 publications

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“…(b) Use the Kalman filter, Eqns (15) to (21), to obtain the innovation, ( ) Z k , the innovation covariance, S(k), and the Kalman gain, K a (k). (c) Use the adaptive weighted recursive least square algorithm, Eqns (22) to (26) to estimate the unknown force, ( ) F k Ù . A flow chart of the computation for the application of the recursive input estimation algorithm is given in Fig.…”

Section: Adaptive Weighted Recursive Input Estimation Methodsmentioning

confidence: 99%

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Determination of Moving Tank and Missile Impact Forces on a Bridge Structure

Chen¹,

Lee²

2008

DSJ

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Section: Adaptive Weighted Recursive Input Estimation Methodsmentioning

confidence: 99%

“…The algorithm is an efficient online recursive inverse method to estimate the force inputs. Ma 18,19 , et al proposed an inverse method to estimate impulsive loads on the lumped-mass structural system. The method is more economical of the computational resources than batch form process in estimating the external forces of the complex structure system.…”

mentioning

confidence: 99%

Determination of Moving Tank and Missile Impact Forces on a Bridge Structure

Chen¹,

Lee²

2008

DSJ

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“…In (Katupitiya, 1996), a Kalman filter has been used for identification of contact and grasping uncertainties and for monitoring of force controlled assembly operations. (Ma, 2003) and (Liu, 2000) have used a Kalman Filter to estimate forces applied on beam structures. In (Nilsson, 1999) a Kalman Filter is used to help controlling the position of flexible mobile manipulators.…”

Section: Kalman Filteringmentioning

confidence: 99%

Improvement of strain gauges micro-forces measurement using Kalman optimal filtering

2009

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Manipulation of small components and assembly of Microsystems require force measurement. In the microworld (the world of very small components), signal/noise ratio is very low due to the weak amplitude of the signals. To be used in feedback control or in a micromanipulation system, a force sensor must allow static and dynamic measurements. In this paper, we present a micro-force measurement system based on the use of strain gauges and a Kalman optimal filter. Using a model of the measurement system and a statistical description of the noise, the optimal filter allows filtering the noise without loss of dynamic measurement. The performances of the measurement system are improved and fast force variations can be measured.

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“…Regularization methods can be utilized to overcome the ill-posed problem with additional physical or mathematical conditions [6][7][8]. Probabilistic or statistical 2 Shock and Vibration methods were employed by a probabilistic or statistical perspective to gain the unknown loads [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Time-Varying Wind Load Identification Based on Minimum-Variance Unbiased Estimation

Xue

Lin

Luo

et al. 2017

Shock and Vibration

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A minimum-variance unbiased estimation method is developed to identify the time-varying wind load from measured responses. The formula derivation of recursive identification equations is obtained in state space. The new approach can simultaneously estimate the entire wind load and the unknown structural responses only with limited measurement of structural acceleration response. The fluctuating wind speed process is investigated by the autoregressive (AR) model method in time series analysis. The accuracy and feasibility of the inverse approach are numerically investigated by identifying the wind load on a twenty-story shear building structure. The influences of the number and location of accelerometers are examined and discussed. In order to study the stability of the proposed method, the effects of the errors in crucial factors such as natural frequency and damping ratio are discussed through detailed parametric analysis. It can be found from the identification results that the proposed method can identify the wind load from limited measurement of acceleration responses with good accuracy and stability, indicating that it is an effective approach for estimating wind load on building structures.

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Input Forces Estimation of Beam Structures by an Inverse Method

Cited by 116 publications

References 14 publications

Determination of Moving Tank and Missile Impact Forces on a Bridge Structure

Determination of Moving Tank and Missile Impact Forces on a Bridge Structure

Improvement of strain gauges micro-forces measurement using Kalman optimal filtering

Time-Varying Wind Load Identification Based on Minimum-Variance Unbiased Estimation

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