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Dynamics

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)

Benchmarks P09, P18 (subset of above), R0015 (subset of above).

forced vibrations

Beam elements with various forcing functions:

  • deep simply supported beam (5)

Thin plate elements with various forcing functions:

  • simply supported thin square plate (13)

Thick plate elements with various forcing functions:

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

Benchmark R0016.

Beam elements with various forcing functions:

  • deep simply supported beam (FR07)

Thin plate elements with various forcing functions:

  • simply supported thin square plate (FR13)

Thick plate elements with various forcing functions:

  • simply supported thick square plate with edge rotations suppressed (FR21)

Benchmarks R0034, R0034(S).

acoustics

Radiation and scattering of sound:

  • sound radiation of a vibrating sphere
  • sound radiation of a cylinder with vibrating lateral surface
  • scattering of sound by a pipe with intersecting ribs

Benchmark R0083 .