In OpenSees (and any other finite element software), equation numbering is a quiet, behind the scenes analysis option that users do not have to pay any mind. No matter how a user numbers the nodes in their model, e.g., for bookkeeping or from a mesh generator, the equation numberer will clean up any messes. But … Continue reading Reverse Engineering the Equation Numberer
Author: Michael H. Scott
2025 In Review
My annual review of blog stats and traffic might feel obligatory, but 2025 shows 2026 will likely ring in a new normal. Word Count The sum of all keys hit in 2025: 45 posts 26,253 words 583 words per post Compared to 2023 and 2024, the number of posts and words decreased, but the density increased. This slight … Continue reading 2025 In Review
Eigen Almost Hear You Sigh
ARPACK, the default eigenvalue solver in OpenSees, is very good at quickly finding a small number of eigenpairs (frequencies and mode shapes) for large models. Getting a few of a model’s lowest frequencies so you can check for rigid body modes and/or calculate Rayleigh damping coefficients is all most users care about. ARPACK gets the … Continue reading Eigen Almost Hear You Sigh
Modeling Is Always Nonlinear, but Not the Response
As a narrative device, an ellipsis omits events that are unimportant to a story and that an audience can easily understand and reconstruct if necessary. For example, a movie montage is a narrative ellipsis. In Bull Durham, we don't need to see every game in the Bulls' road winning streak. We just need to see … Continue reading Modeling Is Always Nonlinear, but Not the Response
Three Acts with the Two Node Link
This post follows three-act structure in verifying the flexural and shear response of the TwoNodeLinkSection element. Setup I’ve been working on the TwoNodeLinkSection element, which is like a TwoNodeLink, but uses a section object instead of multiple uniaxial materials. Basically the same spin the ZeroLengthSection puts on the ZeroLength element. Using a section object inside a two … Continue reading Three Acts with the Two Node Link
Combined Loadings
I talked with a graduate student from Mechanical Engineering the other day. The student is learning OpenSees and successfully analyzed a truss. No, not that truss from Example 1.1. After showing me the truss results, the student said something along the lines of “Deflections are fine and OpenSees does a good job, but I really … Continue reading Combined Loadings
Concrete23andMe
I’ve teased Concrete23 for some time now--so long that ChatGPT believes the model to be real. As you know though, Concrete23 was meant to be a riff on the material models in OpenSees that are clones of something else, but with one or two mutations. Like Concrete02IS’s addition of user-defined initial stiffness to Concrete02, or whatever insignificance ModIMKPinching02 … Continue reading Concrete23andMe
Ways to Analyze This
A previous post challenged readers to analyze a simple frame model subjected to static loads. The model had material nonlinearity via tension-only diagonal cables and geometric nonlinearity via the P-Δ effects in the columns. The Challenge Despite these rather simple nonlinearities, analysis of the frame for the given vertical and lateral loads will fail using the default analysis options … Continue reading Ways to Analyze This
Making Sound Waves
While enjoying ZeroPoMo, I've spent a little time over the last few days with the OpenAI API. To make a long story short, with a lot of help from ChatGPT I built a small LLM that generates blog posts written in the voice of my already published blog posts. I used the text-embedding-3-small model for … Continue reading Making Sound Waves
Evergreen OpenSees Content
Over six years in and 430 posts down, the blog is moving along in various directions--perhaps orthogonal to previous directions, which is not a bad thing. But what are those previous directions? To help answer that question, I compiled a list of the 30 most read posts over the blog's lifetime. All but one of … Continue reading Evergreen OpenSees Content
