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Python library that approximates the natural frequency from stress via physical dualism, and vice versa.

Project Description


Python library that approximates the natural frequency from stress via physical dualism, and vice versa.

This work is a part of the investigation within the research project [ON174027], supported by the Ministry for Science and Technology, Republic of Serbia. This support is gratefully acknowledged.


[ON174027]“Computational Mechanics in Structural Engineering”


To install physical_dualism run:

$ pip install physical_dualism

Usage examples

Quick start:

>>> from physical_dualism import approximate_natural_frequency_from_stress

>>> mode = 1
>>> a = 2310.0 # [mm] strip length
>>> sigma_cr = 19.4754 # [MPa] critical buckling stress
>>> ro = 10000.0 / 10**9 # [kg/mm**3] mass density

# Mass matrix expects mass density normalized to 1 [m] of length, even if everything is done in [mm]
>>> ro /= 10**3

# [rad/s] natural frequency approximated from critical buckling stress
>>> print "%.4f" % approximate_natural_frequency_from_stress(mode, a, sigma_cr, ro)

Please see the fsm_eigenvalue source code for more examples.


If you find any bugs, or wish to propose new features please let us know.

If you’d like to contribute, simply fork the repository, commit your changes and send a pull request. Make sure you add yourself to AUTHORS.

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