Everything about Direct stiffness method
Structural analysis technique; implementation of the finite element method
In structural engineering, the direct stiffness method, also known as the matrix stiffness method, is a structural analysis technique particularly suited for computer-automated analysis of complex structures including the statically indeterminate type. It is a matrix method that makes use of the members' stiffness relations for computing member forces and displacements in structures. The direct stiffness method is the most common implementation of the finite element method (FEM). In applying the method, the system must be modeled as a set of simpler, idealized elements interconnected at the nodes. The material stiffness properties of these elements are then, through linear algebra, compiled into a single matrix equation which governs the behaviour of the entire idealized structure. The structure’s unknown displacements and forces can then be determined by solving this equation. The direct stiffness method forms the basis for most finite element software. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Direct stiffness methodA 5-minute orientation
- Skim a recent paper: Mechanical model of strut-based metamaterials based on direct stiffness methodInfluential work since 2022
- Pick up a classic book: Fluid-structure interactionThe most-reprinted book on the subject
- Read the landmark paper: BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHODCited 292 times
- Go sideways: Finite element method in structural mechanicsA closely related topic
- Go sideways: Flexibility methodA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHOD
ANALYSIS OF AXISYMMETRICAL SHELLS BY THE DIRECT STIFFNESS METHOD
A generalization of the direct-stiffness method of structural analysis
Stiffness of the Roller Screw Mechanism by the Direct Method
Schedule compression using the direct stiffness method
Analysis of power flow in beams and frameworks using the direct-dynamic stiffness method
Refined nine‐parameter triangular thin plate bending element by using refined direct stiffness method
Direct stiffness method analysis of shells of revolution utilizing curved elements.
🆕 Influential since 2022
Mechanical model of strut-based metamaterials based on direct stiffness method
Application of Direct Stiffness-Strength Method for Design of Gypsum and Plywood sheathed CFS wall panels Subjected to Bending
Calculation Model of Contact Load and Axial Stiffness of Planetary Thread Roller Bearing Based on Direct Stiffness Method
Direct Stiffness–Strength Method: An Alternative Design Approach to AISI for Sheathed Cold-Formed Steel Z-Section Structural Members Subjected to Bending
Sensitivity analysis for sectional stiffness of anisotropic beams: The direct and adjoint methods
📚 Books worth reading
- 📕Fluid-structure interactionJean-François Sigrist · 2015
The ugly-girl papersS. D. Power · 1874
Matrixanalysis of framed structuresWilliam Weaver Jr. · 1980- 📕Stochastic Structural DynamicsCho W. S. To · 2013
NanosystemsK. Eric Drexler · 1992- 📕The direct stiffness method of structural analysisM. J. Turner · 1959
- 📕Large deflection and stability analysis by the direct stiffness methodHarold C. Martin · 1966
- 📕Large deflection and stability analysis by the direct stiffness methodHarold Clifford Martin · 1966
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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