Free vibrations and natural frequencies

Beam elements:

- pin-ended cross with in-plane vibration (1)

- pin-ended double cross with in-plane vibration (2)

- free square frame with in-plane vibration (3)

- cantilever with off-centre point masses (4)

- deep simply supported beam (5)

- circular ring (6)

Thin plate elements:

- thin square cantilevered plate with symmetric modes (11a)

- thin square cantilevered plate with anti-symmetric modes (11b)

- free thin square plate (12)

- simply supported thin square plate (13)

- simply supported thin annular plate (14)

- clamped thin rhombic plate (15)

- cantilevered thin square plate (16)

Thick plate elements:

- simply supported thick square plate with edge rotations suppressed (21a)

- simply supported thick square plate with edge rotations free (21b)

- clamped thick rhombic plate (22)

- simply supported thick annular plate (23)

Membrane elements:

- cantilevered square membrane (31)

- cantilevered tapered membrane (32)

- free annular membrane (33)

Anti-symmetric solid elements:

- free cylinder with axisymmetric vibration (41)

- thick hollow sphere with uniform radial vibration (42)

- simply supported annular plate with axisymmetric vibration (43)

3D solid elements:

- deep simply supported solid beam (51)

- simply supported solid square plate (52)

- simply supported solid annular plate with axisymmetric vibration (53)

Eigen solution tests:

- 2D beam element in a cantilevered beam (71)

- 3D solid element in a cantilevered beam (72)

- thin shell element in a cantilevered thin square plate (73)

- thin shell element in a cantilevered thin square plate (automatic masters selection) (74)

Available From

P09

P18 (subset of above)

R0015 (subset of above)