USCD1018 NONSAP.

1. NAME OR DESIGNATION OF PROGRAM:  NONSAP.

3. DESCRIPTION OF PROBLEM OR FUNCTION

NONSAP is a general finite element program for the nonlinear static and dynamic analysis of complex structures. The program is very flexible and was designed to be extended and modified by the user. In particular the program can  easily be modified to use a different formulation of the equations of motions, different time integration operators and other additional options.

4. METHOD OF SOLUTION

The system response is calculated using an incremental solution of the equations of equilibrium with the Wilson theta or Newmark time integration scheme. Before the time integration is carried out, the constant structure matrices, namely  the linear effective stiffness matrix, the linear stiffness, mass and damping matrices, whichever is applicable, and the load vectors  are assembled and stored on low-speed storage. During the step-by- step solution the linear effective stiffness matrix is updated for the nonlinearities in the system. Therefore, only the nonlinearities are dealt with in the time integration.

The program presently contains the following element types:
a)  three-dimensional truss element;
b)  two-dimensional plane stress and plane strain element;
c)  two-dimensional axisymmetric shell or solid element;
d)  three-dimensional solid element;
e)  three-dimensional thick shell element.

The nonlinearities may be due to large displacements, large strains, and nonlinear material behaviour. The material descriptions presently available are:
(for the truss elements)
a)  linear elastic;
b)  nonlinear elastic;

(for the two-dimensional elements)
a)  isotropic linear elastic;
b)  orthotropic linear elastic;
c)  Mooney-Rivlin material;
d) elastic-plastic materials, von Mises or Drucker-Prager yield     conditions;
e)  variable tangent moduli model;
f)  curve description model (with tension cut-off);

(for the three-dimensional elements)
a)  isotropic linear elastic;
b)  curve description model.

Input data consists of the global coordinates and degrees of freedom of the system nodal points, the definition of the elements used, the analysis to be performed (static or dynamic, linear or nonlinear), the description of the system loads and the required output. Data generation is available.

5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:

6. TYPICAL RUNNING TIME:

7. UNUSUAL FEATURES OF THE PROGRAM:  The generality of the program allows easy modification.

8. RELATED AND AUXILIARY PROGRAMS

NONSAP is not an extension of the linear analysis program SAP but rather a completely new development.

10. REFERENCES:

- K. J. Bathe, E.L. Wilson and R.H. Iding:
  NONSAP - A Structural Analysis Program for Static and Dynamic
  Response of Nonlinear Systems
  UCSESM 74-3, February 1974
- K.J. Bathe, H. Ozdemir and E.L. Wilson:
  Static and Dynamic Geometric and Material Nonlinear Analysis
  UCSESM 74-4, February 1974
- K.J. Bathe and E.L. Wilson:
  'NONSAP' - A General Finite Element Program for Nonlinear Dynamic
  Analysis of Complex Structures
  Reprint M 3/1*
- K.J. Bathe, E.L. Wilson, R.H. Iding:
  NONSAP - A Structural Analysis Program for Static and Dynamic
  Response of Non Linear Systems
  National Information Service Earthquake Engineering Computer
  Program Applications, February 1974
- K. J. Bathe, E.L. Wilson and R.H. Iding:
  NONSAP - A Structural Analysis Program for Static and Dynamic
  Response of Nonlinear Systems
  UCSESM 74-3, February 1974
- K.J. Bathe, H. Ozdemir and E.L. Wilson:
  Static and Dynamic Geometric and Material Nonlinear Analysis
  UCSESM 74-4, February 1974
- K.J. Bathe and E.L. Wilson:
  'NONSAP' - A General Finite Element Program for Nonlinear Dynamic
  Analysis of Complex Structures
  Reprint M 3/1*
- K.J. Bathe, E.L. Wilson, R.H. Iding:
  NONSAP - A Structural Analysis Program for Static and Dynamic
  Response of Non Linear Systems
  National Information Service Earthquake Engineering Computer
  Program Applications, February 1974

11. MACHINE REQUIREMENTS

The program is an in-core solver. The capacity of the program is essentially determined by the total number of degrees of freedom in the system. However, all structure matrices are stored in compacted form, i.e. only nonzero elements are processed.

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

15. NAME AND ESTABLISHMENT OF AUTHOR

          K. J. Bathe, E. L. Wilson and R. H. Iding
          Structural Engineering Laboratory
          University of California
          Berkeley, California
          USA

File name	File description	Records
USCD1018_01.001	SOURCE PROGRAM-F4-EBCDIC	10295
USCD1018_01.002	JCL	19
USCD1018_01.003	OVERLAY CARDS	25
USCD1018_01.004	SAMPLE PROBLEM INPUT DATA	265
USCD1018_01.005	SAMPLE PROBLEM PRINTED OUTPUT	4189

File name	File description	Records
USCD1018_02.001	INFORMATION	2
USCD1018_02.002	SOURCE PROGRAM (F4)	10460
USCD1018_02.003	SAMPLE PROBLEM INPUT DATA	265
USCD1018_02.004	SAMPLE PROBLEM PRINTED OUTPUT	4191