Applications of Sherman Morrison matrix inversion formula in linear and non linear vibrations controls and acoustics

2003-09-06
Özer, Mehmet Bülent
Show full item record
119
views
0
downloads
Applications of the Sherman-Morrison matrix inversion formula are reviewed and demonstrated for several problems in sound and vibration control. The inversion formula enables one to easily separate the effect of a perturbation or subcomponent on the dynamic behavior of the overall system. Applications of this technique that are demonstrated here include: identifying optimal PZT electrical shunt parameter values to minimize sound radiation from a PZT-plate structure, identifying the optimal location and parameter values of a tuned dynamic vibration absorber attached to a multi-degree of freedom, damped system, and identifying and quantifying an isolated non-linearity in an otherwise linear system. Extensions to active control system design are also discussed.
https://hdl.handle.net/11511/77277
ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conferences, (02 - 06 Eylül 2003)
Department of Mechanical Engineering, Conference / Seminar

Suggestions

Active vibration suppression of a flexible beam via sliding mode and H ∞ control
Itik, Mehmet; Salamci, Metin U.; Demet Ulker, F.; Yaman, Yavuz (2005-12-01)
n this study, sliding mode and H. control techniques are applied to a flexible beam in order to suppress some of the vibration modes. The beam is a clamped-free flexible structure having piezoelectric (PZT) patches as actuators and a laser displacement sensor for measuring the tip point deflection. The beam is modeled in two different ways for each control algorithm. To implement sliding mode control (SMC), Euler-Bernoulli beam model is used and a finite dimensional LTI model is formed by using assumed mode...
Performance evaluation of piezoelectric sensor/actuator on active vibration control of a smart beam
Şahin, Melin (SAGE Publications, 2011-01-01)
In this paper the performance of a piezoelectric sensor/actuator pair and self-sensing piezoelectric actuator on the investigation of vibration characteristics and active vibration control of a smart beam are presented. The performance of piezoelectric patches on actuation and sensing is evaluated by investigating the vibration characteristics of the smart beam via various excitation mechanisms and transduction systems. For active vibration suppression of the smart beam, robust controllers are designed and ...
Utilization of motor current based torque feedback to improve the transparency of haptic interfaces
Baser, Ozgur; Konukseven, Erhan İlhan (2012-06-01)
In this paper motor current based torque feedback compensator is utilized in actuator space together with a closed loop impedance control algorithm instead of model based compensator to improve the transparency performance of haptic interfaces; moreover, a novel transparency evaluation metric is developed to evaluate the transparency performance of these devices. The proposed control algorithm is experimentally tested on a 1 DOF haptic device by employing a low-cost current sensor. It is also tested on a MA...
Experimental evaluation of cable drum systems as linear motion sensors
KILIÇ, ERGİN; Dölen, Melik; Koku, Ahmet Buğra (2011-04-15)
This study evaluates cable-drum mechanisms as linear motion sensors for certain CNC applications. In this work, the dynamical attributes of a generic device are studied experimentally. The conducted research indicates that despite the significant traction force induced between the cable and its drum, small fluctuations in mechanism's speed yields a considerable (micro) slip at the interface.
Comparison of PWM and PFM induction drives ID in,egarding audible noise and vibration for household applications
Ertan, Hulusi Bülent (2004-11-01)
This paper is aimed at comparing the performance of pulse frequency modulation (PFM) and pulsewidth modulation (PWM) techniques regarding audible noise generated from inverter-driven induction motors. For the purpose of illustrating the performance of the two modulation techniques, a drive developed for washing machine applications is considered. First, the measured and simulated harmonic content of this inverter is compared with the measured harmonic spectrum of a three-phase input-output commercial variab...
Citation Formats
M. B. Özer, “Applications of Sherman Morrison matrix inversion formula in linear and non linear vibrations controls and acoustics,” presented at the ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conferences, (02 - 06 Eylül 2003), 2003, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/77277.
METU IIS - Integrated Information Service open@metu.edu.tr