Resources · Elastodynamics

Driven elastic plate modes

Numerical simulations of driven plates and Chladni patterns.

Press play to run an animation. Use the player controls to pause or view it full screen. The original GIF is available below each animation.

An elastic plate driven by a vertical force can develop a wide range of vibration patterns. These examples from three-dimensional elastodynamic FDTD simulations use a drive near the plate centre. The response depends on excitation frequency, plate properties, supports and damping.

Reading a vibration pattern

Regions of large transverse motion are separated by nodal lines with small displacement. In a traditional Chladni experiment, grains on a vibrating plate can accumulate near such nodes. Here, the animations show the computed plate motion, not a simulation of grains.

A driven response may contain several natural modes. Its shape should not automatically be identified with a single eigenmode unless the modal content has been established. Displacements are exaggerated for visibility.

Example responses

The original collection does not provide a complete frequency and boundary-condition specification for these examples. They are therefore presented as qualitative response patterns, without inferred resonance frequencies.

Original GIF · 3.1 MB
Response example 1.
Original GIF · 1.1 MB
Response example 10.
Original GIF · 0.9 MB
Response example 11.

References & further reading