Download MATLAB Guide to Finite Elements: An Interactive Approach by Peter I. Kattan PDF

Download MATLAB Guide to Finite Elements: An Interactive Approach by Peter I. Kattan PDF

By Peter I. Kattan

This winning textbook explores the numerical implementation of Finite aspect research utilizing the pc software MATLAB, that's very hot this present day in engineering and engineering schooling. The publication encompasses a brief educational on MATLAB in addition to a scientific technique for the remedy of finite aspect equipment. precious to either scholars and researchers in engineering, it offers quite a few examples and routines from mechanical, civil and aerospace engineering, in addition to from fabrics technology. The e-book specifically stresses the interactive use of MATLAB, with every one instance solved in an interactive demeanour. The accompanying CD-ROM comprises greater than fifty MATLAB services in particular written for use with this ebook within the kind of a MATLAB Finite point Toolbox. an intensive ideas handbook is supplied to boot, together with precise options to the entire difficulties within the publication for lecture room use. This moment version features a new brick (solid) aspect with 8 nodes and a one-dimensional fluid move point. A evaluation of the purposes of finite components in a variety of fields reminiscent of fluid circulation, warmth move, structural dynamics, electro-magnetics, is additional in addition.

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Extra info for MATLAB Guide to Finite Elements: An Interactive Approach

Example text

1: Consider the spring system composed of two springs as shown in Fig. 4. Given k1 = 200 kN/m, k2 = 250 kN/m, and P = 10 kN, determine: 1. 2. 3. 4. the global stiffness matrix for the system. the displacements at node 2. the reactions at nodes 1 and 3. the force in each spring. k1 1 P k2 3 2 Fig. 4. 2: Consider the spring system composed of four springs as shown in Fig. 5. Given k = 170 kN/m and P = 25 kN, determine: 1. 2. 3. 4. the global stiffness matrix for the system. the displacements at nodes 2, 3, and 4.

The order of the nodes for this element is very important – the first node is the one at the left end, the second node is the one at the right end, and the third node is the one in the middle of the element. The global stiffness matrix K is assembled by making calls to the MATLAB function QuadraticBarAssemble which is written specifically for this purpose. This process will be illustrated in detail in the examples. 46 4. 2) where U is the global nodal displacement vector and F is the global nodal force vector.

No calls are made to the MATLAB functions LinearBarElementForces or LinearBarElementStresses since the element forces and stresses are not required in this example. Thus Step 6 (Post-processing) will not be performed for this example. 1: Consider the structure composed of three linear bars as shown in Fig. 5. 005 m2 , P1 = 10 kN, and P2 = 15 kN, determine: 1. 2. 3. 4. the global stiffness matrix for the structure. the displacements at nodes 2, 3, and 4. the reaction at node 1. the stress in each bar.

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