Module 2: Active Vibration Control of Smart Composite Plate
  Lecture 18: Element Matrices
 

 

The strain energy of a thin laminated plate element is given by area integral over the element

(18.14)

Substituting from Equation (17.4) into Equation (18.14), the strain energy may be written as

(18.15)

In terms of area co-ordinates

and (18.16)

where,

and (18.17)

 

(18.19)

 
Substituting from Equation (18.16) into Equation (18.15), the expression of strain energy is

(18.20)

In the above equation

 
 
(18.21)

The strain energy in the form of element stiffness matrix can also be written as

(18.22)

The element stiffness matrix [K] is given by

(18.23)

where,

 
(18.24)