Hans Irschik, Alexander Belyaev, Michael Krommer, Kurt Schlacher,
"Non-Uniqueness of Two Inverse Problems of Thermally and Force-Loaded Smart Structures: Sensor Shaping and Actuator Shaping Problem"
, in Analysis and Design Issues for Modern Aerospace Vehicles, Vol. 55, Seite(n) 119-125, 3-1997
Original Titel:
Non-Uniqueness of Two Inverse Problems of Thermally and Force-Loaded Smart Structures: Sensor Shaping and Actuator Shaping Problem
Sprache des Titels:
Englisch
Original Kurzfassung:
Flexural vibrations of smart beams with integrated piezoelectric actuators and sensors are considered. For the case of a spatial variation of the sensor/actuator activity, actuator and sensor equations are derived taking into account the interaction of mechanical, electrical and thermal fields. Self-sensing actuators are included. With respect to the non-uniform spatial distribution of the sensors/actuators, shaping problems are formulated, Possible non-uniqueness of these inverse problems is pointed out. Shape functions are responsible for non-uniqueness of the shaping problems are termed nilpotent solution. Within the context of simplified sensor/actuator equations widely used in the literature, a class of nilpotent shape functions is derived for redundant beams by analogy to an auxiliary quasi-static problem of thermally induced flexure. Nilpotent shape functions of the sensor/actuator shaping problem thus turn out to correspond to bending moments in the auxiliary thermoelastic problem.
Sprache der Kurzfassung:
Englisch
Journal:
Analysis and Design Issues for Modern Aerospace Vehicles
Volume:
55
Seitenreferenz:
119-125
Erscheinungsmonat:
3
Erscheinungsjahr:
1997
Anzahl der Seiten:
7
Notiz zur Publikation:
ASME International Mechanical Engineering Congress and Exposition, November 16-21 1997, Dallas, Texas, USA, 1997.