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1.3 Result Definitions<br />

CHAPTER 1<br />

Introduction to <strong>Results</strong> Post<strong>processing</strong><br />

In order to fully utilize the power of the <strong>post</strong>processor, a thorough understanding of how the<br />

results are stored and manipulated is important. To avoid confusion or the possibility of<br />

misinterpreting the graphical displays, the following definitions should be understood.<br />

Result Types. There are really only three results types, either scalar, vector, or tensor. Aside<br />

from these there are other aspects of results data as stored in the database that need to be<br />

understood. The following table summarizes these:<br />

Term Description<br />

Nodes/Elements <strong>Results</strong> are associated with either nodes or with elements.<br />

Scalar <strong>Results</strong><br />

Vector <strong>Results</strong><br />

Tensor <strong>Results</strong><br />

Real/Complex<br />

Number<br />

Load Case<br />

<strong>Results</strong> Case<br />

Single results values associated with either nodes or elements. They<br />

contain a magnitude only with no direction. Examples: strain energy,<br />

temperature, von Mises stress, etc.<br />

<strong>Results</strong> values with three (3) components each associated with either<br />

nodes or elements. Vector results contain both magnitude and<br />

direction Examples: displacement, velocity, acceleration, reaction<br />

forces, etc.<br />

<strong>Results</strong> values with six (6) components each (typically comprising<br />

the upper triangular portion of a symmetric matrix) associated with<br />

either nodes or elements. Examples: stress and strain components<br />

<strong>Results</strong> stored as real numbers have only single values associated<br />

with any node or element. Complex numbers have two values<br />

associated with any node or element and are stored in the database<br />

as real and imaginary parts or magnitude and phase.<br />

A group of applied loads and boundary conditions which may<br />

produce one or more result cases.<br />

A collection of results as stored in the database (e.g., static analysis<br />

results, results from a load step in a nonlinear analysis, a mode shape<br />

from a normal mode analysis, a time step from a transient analysis,<br />

etc.).<br />

Result Type Either scalar, vector, or tensor. Scalar results contain a magnitude<br />

with no direction such as temperature, strain energy, von Mises<br />

stress, etc. Vector results contain both magnitude and direction, such<br />

as displacement, velocity, and acceleration. Tensor results are<br />

symmetric with six unique values (xx, yy, zz, xy, yz, zx) such as stress<br />

or strain at a point. Each <strong>Results</strong> Case can have many <strong>Results</strong> types in<br />

them.<br />

Global Variables<br />

Values associated with results cases as a whole rather than to<br />

individual nodes and elements. Each result case may be associated<br />

with zero, one or more global variables, (e.g. time, frequency, load<br />

case, etc.).<br />

5

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