Consider two stiffness matrices of the square element in example 7.9: [ (left.mathbf{k}_{1} ight]) for (1 times
Question:
Consider two stiffness matrices of the square element in example 7.9: [ \(\left.\mathbf{k}_{1}\right]\) for \(1 \times 1\) integration and \(\left[\mathbf{k}_{2}\right]\) for \(2 \times 2\) integration. When nodal displacements are given as \(\{\mathbf{q}\}^{\mathrm{T}}=\) \(\{0.1,0,-0.1,0,0.1,0,-0.1,0\}\), check the reaction forces and determine if the stiffness matrix has extra zeroenergy modes.
Data From Example 9:
Calculate the element stiffness matrix of the square element shown in figure 7.15 using
(a) \(1 \times 1\) Gauss quadrature and
(b) \(2 \times 2\) Gauss quadrature.
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Related Book For
Introduction To Finite Element Analysis And Design
ISBN: 9781119078722
2nd Edition
Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar
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