Basic Equations of Structural Mechanics

Consider a linear elastic continuum, which may consist of passive and active, i. e. adaptronic, elements. The dynamic equilibrium of the structure can be formulated using the principle of virtual displacements [9] including inertia loads. To express the internal strain energy in terms of displacement variables, the kinematics of the structure has to be considered. Various types of mechanical structures, e. g. beams, plates, or shells, are defined by kinematics relations and constraints. 

Finally, stress r and strain e are related to each other by the constitutive law of the material. For passive, linear elastic materials the generalized Hooke s law is a valid approximation  

E denotes the elasticity tensor of the material. Examples of constitutive laws for smart materials are given in the subsequent section. 

Model Reduction reduced Older (Stale Space) Model 

Analysis and Simulalkx) Poles, Zeros, Frequency Response, Time Response 

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