Enhanced damping of lightweight structures by semi-active joints

• Published in: Acta mechanica Vol. 195; no. 1-4; pp. 249 - 261
• Main Authors: Gaul, Lothar, Hurlebaus, S., Wirnitzer, J., Albrecht, H.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 2008; Springer; Springer Nature B.V
• Subjects: Classical and Continuum Physics; Control; Damping; Dynamical Systems; Engineering; Engineering Thermodynamics; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Heat and Mass Transfer; Materials science; Mechanical contact (friction...); Physics; Solid Mechanics; Structural and continuum mechanics; Theoretical and Applied Mechanics; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Truss Structure; Friction Joint; Lightweight Structure; Shuttle Radar Topography Mission; Vibration Suppression; Positioning; Multiobjective programming; Feedback regulation; Non linear programming; Passive system; Modeling; Optimization; Transducer position; Active system; Contact stress; Energy dissipation; Sliding contact; Controllability; Discrete programming; Vibration control; Eigenvalue problem; Observability; Probabilistic approach; Mechanical contact; Contact surface; Search algorithm; Closed feedback; Vibration damping; Truss structure; Friction; Optimal control
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-007-0547-4

Summary Lightweight structures typically have low inherent structural damping. Effective vibration suppression is required, for example, in certain applications involving precision positioning. The present approach is based on friction damping in semi-active joints which allow relative sliding between the connected parts. The energy dissipation due to interfacial slip in the friction joints can be controlled by varying the normal pressure in the contact area using a piezo-stack actuator. This paper focuses on the optimal placement of semi-active joints for vibration suppression. The proposed method uses optimality criteria for actuator and sensor locations based on eigenvalues of the controllability and observability gramians. Optimal sensor/actuator placement is stated as a nonlinear multicriteria optimization problem with discrete variables and is solved by a stochastic search algorithm. At optimal locations, conventional rigid connections of a large truss structure are replaced by semi-active friction joints. Two different concepts for the control of the normal forces in the friction interfaces are implemented. In the first approach, each semi-active joint has its own local feedback controller, whereas the second concept uses a global, clipped-optimal controller. Simulation results for a 10-bay truss structure show the potential of the proposed semi-active concept.