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Everything about Newmark-beta method
Concept in differential equation mathematics
The Newmark-beta method is a method of numerical integration used to solve certain differential equations. It is widely used in numerical evaluation of the dynamic response of structures and solids such as in finite element analysis to model dynamic systems. The method is named after Nathan M. Newmark, former Professor of Civil Engineering at the University of Illinois at Urbana–Champaign, who developed it in 1959 for use in structural dynamics. The semi-discretized structural equation is a second order ordinary differential equation system, Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Newmark-beta methodA 5-minute orientation
- Skim a recent paper: Coupled Newmark beta and GDQ methods with a hybrid adaptive neuro-fuzzy for electromechanical energy absorption of microsystemInfluential work since 2022
- Read the landmark paper: A unified set of single step algorithms part 3: The beta‐ m method, a generalization of the Newmark schemeCited 186 times
- Go sideways: Racah polynomialsA closely related topic
- Go sideways: Matrix t-distributionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A unified set of single step algorithms part 3: The beta‐ m method, a generalization of the Newmark scheme
Multicomplex Newmark-Beta Time Integration Method for Sensitivity Analysis in Structural Dynamics
Newmark-Beta Method in Discrete Elastic Rods Algorithm to Avoid Energy Dissipation
Coupled Newmark beta technique and GDQ method for energy harvesting and vibration control of the piezoelectric MEMS/NEMS subjected to a blast load
A New Unconditionally Stable FDTD Method Based on the Newmark-Beta Algorithm
Newmark-Beta-FDTD method for super-resolution analysis of time reversal waves
Stability-Improved Spectral-Element Time-Domain Method Based on Newmark-$\beta$
Efficient Frequency-Dependent Newmark-Beta-FDTD Method for Periodic Grating Calculation
🆕 Influential since 2022
Coupled Newmark beta and GDQ methods with a hybrid adaptive neuro-fuzzy for electromechanical energy absorption of microsystem
Magnetically Implicit Single-Field FDTD Scheme Based on the Newmark-Beta Method
Impact of Polymeric Composites on Static and Dynamic Behaviors of Timoshenko Beams Using Spectral and Newmark-$$\beta $$ Methods
Approximate solution to Euler-Bernoulli beams on biparametric elastic foundation via Legendre polynomials and Newmark-beta method
An Electrically Implicit FDTD Method Based on the Newmark-Beta Scheme
📚 Books worth reading
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