The implicit arc length method is used to solve the snap-back of the system. Differences between truss (elform 3) and discrete beam/cable (elform 6) can be studied. Example 5 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
*BOUNDARY_SPC_NODE *CONTROL_IMPLICIT_AUTO *CONTROL_IMPLICIT_GENERAL *CONTROL_IMPLICIT_SOLUTION *CONTROL_TERMINATION *DATABASE_BINARY_D3PLOT *DATABASE_ELOUT *DATABASE_GLSTAT *DATABASE_HISTORY_BEAM *DATABASE_HISTORY_NODE *DATABASE_MATSUM *DATABASE_NODAL_FORCE_GROUP *DATABASE_NODFOR *DATABASE_NODOUT *DATABASE_SPCFORC *DEFINE_CURVE *ELEMENT_BEAM *END *KEYWORD *LOAD_NODE_POINT *MAT_ELASTIC *MAT_ELASTIC_SPRING_DISCRETE_BEAM *NODE *PART *SECTION_BEAM *SET_NODE_LIST *TITLE
*KEYWORD *TITLE Snap-Back Under Displacement Control *CONTROL_IMPLICIT_AUTO 1 20 5 1.000e-09 0.00100 *CONTROL_IMPLICIT_GENERAL 1 0.00100 2 1 2 1 *CONTROL_IMPLICIT_SOLUTION 6 40 15 0.0010 0.0100 0.0100 0.900000 1.000000 2 1 1 2 0 1 0.0 1 2 *CONTROL_TERMINATION 1.000000 0 0.0 0.0 0.0 *DATABASE_ELOUT 1.0000e-04 1 *DATABASE_GLSTAT 1.0000e-04 1 *DATABASE_MATSUM 1.0000e-04 1 *DATABASE_NODFOR 1.0000e-04 1 *DATABASE_NODOUT 1.0000e-04 1 *DATABASE_SPCFORC 1.0000e-04 1 *DATABASE_BINARY_D3PLOT 0.010000 *DATABASE_NODAL_FORCE_GROUP 1 *DATABASE_HISTORY_BEAM 1 2 3 4 *DATABASE_HISTORY_NODE 1 2 3 4 5 *DEFINE_CURVE 1 0 0.0 0.0 0.0 0.0 0.0 0.0 1.00000000 4000.000000 *ELEMENT_BEAM *NODE *BOUNDARY_SPC_NODE *PART 1 1 1 *SECTION_BEAM 1 6 1.000000 0 0 0.0 1.000000 1.000000 0 0.0 0.0 0.0 0.0 0.0 *MAT_ELASTIC_SPRING_DISCRETE_BEAM 1 1.000000 1.500000 0.0 0.0 0.0 0.0 0 0 0.0 0.0 1.000000 *PART 2 2 2 *SECTION_BEAM 2 3 0.0 0 0 0.0 1.000000 1.000000 1.000000 1.000000 1.000000 *MAT_ELASTIC 2 1.0000005.0000e+07 0.0 0.0 0.0 0.0 *PART 3 1 3 *MAT_ELASTIC_SPRING_DISCRETE_BEAM 3 1.000000 0.250000 0.0 0.0 0.0 0.0 0 0 0.0 0.0 1.000000 *PART 4 1 4 *MAT_ELASTIC_SPRING_DISCRETE_BEAM 4 1.000000 1.000000 0.0 0.0 0.0 0.0 0 0 0.0 0.0 1.000000 *LOAD_NODE_POINT 1 1 1 1.000000 *SET_NODE_LIST 1 0.0 0.0 0.0 0.0 1 2 3 4 5 *END