Mechanical APDL Basic Analysis Guide - Ansys

Mechanical APDL Basic Analysis Guide - Ansys Mechanical APDL Basic Analysis Guide - Ansys

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Chapter 5: Solution lation step and go down a different path to perform inertia relief calculations. Or, you can stop at the Guyan reduction step (matrix reduction) and go on to calculate reduced eigenvalues. Some possible uses of the PSOLVE approach are listed below. • You can use the results of an intermediate solution step as input to another software package or userwritten program. • If you are interested just in inertia relief calculations or some such intermediate result, the PSOLVE approach is useful. See the Structural Analysis Guide for more information. 5.11. Singularities A singularity exists in an analysis whenever an indeterminate or non-unique solution is possible. A negative or zero equation solver pivot value will yield such a solution. In some instances, it may be desirable to continue the analysis, even though a negative or zero pivot value is encountered. You can use the PIVCHECK command to specify whether or not to stop the analysis when this occurs. The default value for the PIVCHECK command is ON. With PIVCHECK set to ON, a linear static analysis (in batch mode only) stops when a negative or zero pivot value is encountered. The message "NEGATIVE PIVOT VALUE" or "PIVOTS SET TO ZERO" is displayed. If PIVCHECK is set to OFF, the pivots are not checked. Set PIVCHECK to OFF if you want your batch mode linear static analysis to continue in spite of a zero or negative pivot value. The PIVCHECK setting has no effect for nonlinear analyses, since a negative or zero pivot value can occur for a valid analysis. When PIVCHECK is set to OFF, ANSYS automatically increases any pivot value smaller than machine "zero" to a value between 10 and 100 times that machine's "zero" value. Machine "zero" is a tiny number the machine uses to define "zero" within some tolerance. This value varies for different computers (approx1E-15). The following conditions may cause singularities in the solution process: • Insufficient constraints. • Nonlinear elements in a model (such as gaps, sliders, hinges, cables, etc.). A portion of the structure may have collapsed or may have "broken loose." • Negative values of material properties, such as DENS or C, specified in a transient thermal analysis. • Unconstrained joints. The element arrangements may cause singularities. For example, two horizontal spar elements will have an unconstrained degree of freedom in the vertical direction at the joint. A linear analysis would ignore a vertical load applied at that point. Also, consider a shell element with no in-plane rotational stiffness connected perpendicularly to a beam or pipe element. There is no in-plane rotational stiffness at the joint. A linear analysis would ignore an in-plane moment applied at that joint. • Buckling. When stress stiffening effects are negative (compressive) the structure weakens under load. If the structure weakens enough to effectively reduce the stiffness to zero or less, a singularity exists and the structure has buckled. The "NEGATIVE PIVOT VALUE - " message will be printed. • Zero Stiffness Matrix (on row or column). Both linear and nonlinear analyses will ignore an applied load if the stiffness is exactly zero. 5.12. Stopping Solution After Matrix Assembly You can terminate the solution process after the assembled global matrix file (.FULL file) has been written by using WRFULL. By doing so, the equation solution process and the process of writing data to the results file are skipped. This feature can then be used in conjunction with the HBMAT command in /AUX2 to dump any of the assembled global matrices into a new file that is written in Harwell-Boeing format. You can also use the PSMAT command in /AUX2 to copy the matrices to a postscript format that can be viewed graphically. 124 Release 13.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

5.12. Stopping Solution After Matrix Assembly The WRFULL command is only valid for linear static, full harmonic, and full transient analyses when the sparse direct solver is selected. WRFULL is also valid for buckling and modal analyses when any mode extraction method is selected. The command is not valid for nonlinear analyses. Release 13.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates. 125

Chapter 5: Solution<br />

lation step and go down a different path to perform inertia relief calculations. Or, you can stop at the Guyan<br />

reduction step (matrix reduction) and go on to calculate reduced eigenvalues.<br />

Some possible uses of the PSOLVE approach are listed below.<br />

• You can use the results of an intermediate solution step as input to another software package or userwritten<br />

program.<br />

• If you are interested just in inertia relief calculations or some such intermediate result, the PSOLVE approach<br />

is useful. See the Structural <strong>Analysis</strong> <strong>Guide</strong> for more information.<br />

5.11. Singularities<br />

A singularity exists in an analysis whenever an indeterminate or non-unique solution is possible. A negative<br />

or zero equation solver pivot value will yield such a solution. In some instances, it may be desirable to continue<br />

the analysis, even though a negative or zero pivot value is encountered. You can use the PIVCHECK<br />

command to specify whether or not to stop the analysis when this occurs.<br />

The default value for the PIVCHECK command is ON. With PIVCHECK set to ON, a linear static analysis (in<br />

batch mode only) stops when a negative or zero pivot value is encountered. The message "NEGATIVE PIVOT<br />

VALUE" or "PIVOTS SET TO ZERO" is displayed. If PIVCHECK is set to OFF, the pivots are not checked. Set<br />

PIVCHECK to OFF if you want your batch mode linear static analysis to continue in spite of a zero or negative<br />

pivot value. The PIVCHECK setting has no effect for nonlinear analyses, since a negative or zero pivot value<br />

can occur for a valid analysis. When PIVCHECK is set to OFF, ANSYS automatically increases any pivot value<br />

smaller than machine "zero" to a value between 10 and 100 times that machine's "zero" value. Machine<br />

"zero" is a tiny number the machine uses to define "zero" within some tolerance. This value varies for different<br />

computers (approx1E-15).<br />

The following conditions may cause singularities in the solution process:<br />

• Insufficient constraints.<br />

• Nonlinear elements in a model (such as gaps, sliders, hinges, cables, etc.). A portion of the structure<br />

may have collapsed or may have "broken loose."<br />

• Negative values of material properties, such as DENS or C, specified in a transient thermal analysis.<br />

• Unconstrained joints. The element arrangements may cause singularities. For example, two horizontal<br />

spar elements will have an unconstrained degree of freedom in the vertical direction at the joint. A<br />

linear analysis would ignore a vertical load applied at that point. Also, consider a shell element with no<br />

in-plane rotational stiffness connected perpendicularly to a beam or pipe element. There is no in-plane<br />

rotational stiffness at the joint. A linear analysis would ignore an in-plane moment applied at that joint.<br />

• Buckling. When stress stiffening effects are negative (compressive) the structure weakens under load.<br />

If the structure weakens enough to effectively reduce the stiffness to zero or less, a singularity exists<br />

and the structure has buckled. The "NEGATIVE PIVOT VALUE - " message will be printed.<br />

• Zero Stiffness Matrix (on row or column). Both linear and nonlinear analyses will ignore an applied load<br />

if the stiffness is exactly zero.<br />

5.12. Stopping Solution After Matrix Assembly<br />

You can terminate the solution process after the assembled global matrix file (.FULL file) has been written<br />

by using WRFULL. By doing so, the equation solution process and the process of writing data to the results<br />

file are skipped. This feature can then be used in conjunction with the HBMAT command in /AUX2 to dump<br />

any of the assembled global matrices into a new file that is written in Harwell-Boeing format. You can also<br />

use the PSMAT command in /AUX2 to copy the matrices to a postscript format that can be viewed graphically.<br />

124<br />

Release 13.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information<br />

of ANSYS, Inc. and its subsidiaries and affiliates.

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