In this paper, we present a new numerical method for nonlinear vibrational analysis of Euler-Bernoulli beams. Our approach is based on the continuous Galerkin-Petrov time discretization method. The ...
A new study by Shanghai Jiao Tong University and SII Generative AI Research Lab (GAIR) shows that training large language models (LLMs) for complex, autonomous tasks does not require massive datasets.
Anna Baluch is a freelance writer from Cleveland, Ohio. She enjoys writing about a variety of health and personal finance topics. When she's away from her laptop, she can be found working out, trying ...
Here at Bradley we frequently represent clients pursuing or opposing claims for lost productivity on construction jobs. The gist of those claims is that something happened which decreased productivity ...
State Key Laboratory of Cryogenic Science and Technology, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, P.O. Box 2711, Beijing 100190, China University of Chinese Academy ...
Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...
State Key Laboratory of Cryogenic Science and Technology, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, P.O. Box 2711, Beijing 100190, China University of Chinese Academy ...
def harmonic_oscillator(x, v, t, m, k): k1x, k1v = harmonic_oscillator(x, v, t[i-1], m, k) k2x, k2v = harmonic_oscillator(x + 0.5 * dt * k1x, v + 0.5 * dt * k1v, t[i ...
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