Modal Analysis Package for Curved Surfaces

A comprehensive MATLAB package for modal analysis of curved surfaces, including spherical, ellipsoidal, cylindrical, and conical surfaces. The package supports advanced features such as multi-scale analysis, fluid-structure interaction, topology optimization, and progressive failure analysis.

Results Gallery

Modal Analysis

Frequency Response Analysis

Individual Mode Shapes

Mode 1 (89.67 Hz)	Mode 2 (89.67 Hz)	Mode 3 (89.72 Hz)

Mode 4 (89.72 Hz)	Mode 5 (89.81 Hz)	Mode 6 (89.81 Hz)

Advanced Analysis Results

Comparative Modal Analysis

Comparison of mode shapes between different surface types

Composite Shell Analysis

Modal analysis results for composite shell structures

Dynamic Response Analysis

Time-domain response under dynamic loading

Frequency Analysis

Frequency Response Function	MAC Matrix Analysis

Strain Energy Distribution

Strain energy distribution during modal deformation

Thermal Effects

Thermal-structural coupling analysis results

Features

Modal Analysis

• Natural frequencies and mode shapes computation
• Mass normalization and orthogonality checks
• Frequency response analysis
• Random vibration analysis

Surface Types

• Spherical shells
• Ellipsoidal shells
• Cylindrical shells
• Conical shells
• Custom parametric surfaces

Analysis Types

• Modal analysis
• Dynamic response
• Thermal-structural coupling
• Buckling analysis
• Fluid-structure interaction
• Topology optimization

Installation

1. Clone the repository:

git clone https://github.com/gxingqiang/modal-analysis.git

2. Add the package to your MATLAB path:

addpath('/path/to/modal-analysis');

Quick Start

% Create a cylindrical shell
params = struct('R', 0.3, 'L', 0.6, 't', 0.002);
shell = CurvedShellAnalysis.CylindricalSurface(params);

% Set material properties (Steel)
material = struct('E', 210e9, 'nu', 0.3, 'rho', 7800);
shell.setMaterial(material);

% Perform modal analysis
modal = CurvedShellAnalysis.ModalAnalysis(shell, 10);
modal.analyze();

% Plot mode shapes
modal.plotModes(1:4);

Examples

Check out the demos folder for comprehensive examples:

1. demo_modal_analysis.m: Basic modal analysis

   • Natural frequencies and mode shapes
   • Frequency response functions
   • Dynamic response analysis

2. demo_composite_shell.m: Composite shell analysis

   • Laminate properties
   • Thermal effects
   • Progressive failure

3. demo_fsi_analysis.m: Fluid-structure interaction

   • Pressure fields
   • Flow-induced vibration
   • Flutter analysis

4. demo_topology_optimization.m: Shell optimization

   • Compliance minimization
   • Frequency constraints
   • Manufacturing constraints

Documentation

• Theory Manual
• Advanced Examples
• API Reference

Contributing

Contributions are welcome! Please feel free to submit a Pull Request.

License

This project is licensed under the MIT License - see the LICENSE file for details.

Author

Xingqiang Chen

Citation

If you use this package in your research, please cite:

@software{chen2024modal,
  author = {Chen, Xingqiang},
  title = {Modal Analysis Package for Curved Surfaces},
  year = {2024},
  publisher = {GitHub},
  url = {https://github.com/gxingqiang/modal-analysis}
}

Contact

For questions and feedback:

• Email: chen.xingqiang@iechor.com
• GitHub Issues: https://github.com/gxingqiang/modal-analysis/issues