Vibration and Instability Analysis of Ellipsoidal Nanoshells via Finite Element Method

A 2026 study by Piyawat Suwankornkij presents a finite element analysis of axisymmetric free vibration in closed ellipsoidal nanoshells. The work investigates natural frequencies, mode shapes, and instability phenomena for oblate, spherical, and prolate geometries under uniform external pressure. Results are based on the modified couple stress theory and examine the effect of aspect ratio and size-dependent length scale.

Use Cases

• Modeling size-dependent vibration frequencies in nanoshells based on the modified couple stress theory.
• Analyzing the effect of aspect ratio on the first five vibration modes for different shell geometries.
• Investigating preload-induced instability and critical pressures for nanoshells with varying principal curvature.

Strengths

• Analysis covers a defined aspect ratio range (0.25 ≤ b/a ≤ 1.5) for three shell geometries.
• Includes validation and convergence studies for the proposed finite element method approach.
• Examines modal characteristics of normalized internal forces, bending moments, and couple stress moments.

Limitations

• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.
• The primary data files are PDF and DOCX documents, which may require extraction of underlying numerical results.

Provenance

Source

Piyawat Suwankornkij via figshare

Collection Method

Results generated via finite element method (FEM) based on a variational formulation from the principle of virtual work.

Freshness

Last updated 2026-05-28 18:35:17; freshness should be verified.