Dynamic Plastic Bending of Beams Under Local Impulsive Loading

A 2.0 MB document by weizheng xu, last updated May 23, 2026, investigates the dynamic plastic bending of simply supported and clamped beams. The analysis, within small-deflection theory, uses plastic bound theorems and modal approximations for two impulsive velocity distributions: exponential and Gaussian decay. It provides closed-form solutions for deformation and response time, comparing them with finite element results.

Use Cases

• Validate finite element models for beam impact based on the derived closed-form solutions.
• Study plastic hinge motion patterns in beams based on the described variation with decay rate.
• Compare theoretical upper/lower bound predictions for permanent deformation against numerical simulations.
• Analyze the dynamic response of beams under generalized impulsive loads with exponential or Gaussian decay profiles.

Strengths

• Provides closed-form analytical solutions for permanent plastic deformation and response time.
• Includes a comparative analysis between theoretical predictions and finite element results.
• Released under the permissive CC-BY-4.0 license for open use and modification.

Limitations

• The dataset is a 2.0 MB DOCX file; the underlying data format and structure are not specified.
• Row count and column-level documentation are absent, requiring manual inspection after download.
• Description metadata is limited; actual data quality requires manual inspection after download.

Provenance

Source

figshare

Collection Method

Theoretical analysis and finite element simulation, as described in the document.

Freshness

Last updated 2026-05-23 13:03:07; freshness should be verified.