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Parallel integration of single degree-of-freedom systems.

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  • License: BSD License (BSD 2-Clause License)
  • Author: Claudio M. Perez
  • Tags dynamics, integration, seismic, earthquake-engineering
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Project description

sdof

SDOF logo

Parallel integration of single degree-of-freedom systems.


Latest PyPI version NPM version

This package solves scalar differential equations of the form

mu¨+cu˙+ku=f(t)

Integration is carried out using a Generalized - α integrator that is implemented under the hood in highly optimized multi-threaded C code.

Generalized - α is an implicit method that allows for high frequency energy dissipation and second order accuracy. With the right selection of parameters, the method can be specialized to the Hibert-Hughes-Taylor (HHT), or Newmark families of integration schemes.

Python API

import numpy as np
from sdof import integrate, peaks, spectrum

k  = 10.0
c  = 0.1592
m  = 0.2533
f  = np.sin(np.linspace(0, 5*np.pi, 100))
dt = 5*np.pi/100


u, v, a = integrate(f, dt, k=k, c=c, m=m)

D, V, A = spectrum(f, dt, periods=(0.02, 3.0, 100), damping=[0.02, 0.05])

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