.. _sphx_glr_gallery_analyses_transient:

Transient analysis
==================

Time-domain simulations of the equation of motion
:math:`M \ddot u + C \dot u + K u = F(t)` using Newmark-β.


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    <div class="sphx-glr-thumbcontainer" tooltip="A single-DOF mass-spring-damper subjected to a step load shows off the Newmark-β transient integrator in solve_transient.  We integrate for long enough to watch the underdamped oscillation settle toward the new static equilibrium, then compare the result to the textbook second-order response.">

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  .. image:: /gallery/analyses/transient/images/thumb/sphx_glr_example_sdof_transient_thumb.png
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  :doc:`/gallery/analyses/transient/example_sdof_transient`

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      <div class="sphx-glr-thumbnail-title">SDOF transient — step-load response</div>
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    </div>


.. toctree::
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   /gallery/analyses/transient/example_sdof_transient