Geotechnical Engineering Numerical study of ground vibration due to impact pile driving Khoubani and Ahmadi Proceedings of the Institution of Civil Engineers http://dx.doi.org/10.1680/geng.11.00094 Paper 1100094 Received 09/10/2011 Accepted 04/04/2012 Keywords: dynamics/mathematical modelling/piles & piling ICE Publishing: All rights reserved Numerical study of ground vibration due to impact pile driving 1 j Ali Khoubani MSc 2 j Mohammad Mehdi Ahmadi PhD Senior Geotechnical Engineer
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Initialise Clear the workspace and load Linear Algebra package > restart; > with(LinearAlgebra): If you want practice at hand calculation you should use the worksheet "Interactive Gaussian Elimination" (see Menu) Enter the matrix of coefficients and right-hand side vector You may edit the following statements or use the matrix and vector pallettes to enter new data ( see View‚ Palettes) > A:=<<4 | 2 | 3 | 2> ‚ <8 | 3 | -4 | 7> ‚ <4 | -6 | 2 | -5>>; > b:=<<15‚ 7‚ 6>>;
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Random Variable and Its Probability distribution “A random variable is a variable hat assumes numerical values associated with the random outcome of an experiment‚ where one (and only one) numerical value is assigned to each sample point”. “A random variable is a numerical measure of the outcome from a probability experiment‚ so its value is determined by chance. Random variables are denoted using letters such as X‚Y‚Z”. X = number of heads when the experiment is flipping a coin 20 times. There
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Materials & Design Materials and Design 28 (2007) 2295–2302 www.elsevier.com/locate/matdes Minimisation of the residual stress in the heat affected zone by means of numerical methods A.G. Olabi b a‚* ‚ G. Casalino b‚ K.Y. Benyounis c‚ A. Rotondo b a School of Mechanical and Manufacturing Engineering‚ Dublin City University‚ Dublin 9‚ Ireland Politecnico di Bari‚ Dipartimento di Ingegneria Meccanica e Gestionale‚ Viale Japigia 182‚ 70126‚ Italy c Industrial Engineering Department
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import numpy as np import scipy as sp import matplotlib.pyplot as plt import scipy.linalg as la import scipy.io as sio D = sio.loadmat("baseball_data.mat") # X represents the total number of wins per team X = D["X"].ravel() # Y represents the total payroll per team Y = D["Y"].ravel() # The number of rows of matrix A m=X.size #by sorting the value of X‚ I realized that the minimum value in X is 672 and the maximum is 956‚ so I made the plotting range for x-axis from 650 to 1000
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ation in matlabThe MathWorks - Support - Differential Equations in MATLAB file:///C:/aainfors/Tech/work/Phys321/The%20MathWorks%20-%20... home Worldwide st ore cont act us si te hel p Ri chard Sonnenf el d | My a ccount | Log out Products & Services Industries Academia Support User Community Company Product Support 1510 - Differential Equations in MATLAB Differential Problems in MATLAB 1. What Equations Can MATLAB Handle? 2. Where Can I Find Tutorials or Additional
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0 RESULTS 4 5.0 DISCUSSIONS 9 6.0 CONCLUSIONS 10 7.0 APPENDIX 11 ABSTRACT Motion of the rocket is simulated using two numerical analysis methods. From the simulation different parameters such as altitude‚ velocity‚ acceleration and range for initial fuel flows were calculated. Two numerical methods‚ Euler’s integration and 4th order Runge-Kutta integration are used for calculating different parameters for the vertically launched rocket. The efficiency
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structures to withstand these loads within the required performance limits. This paper presents discussions on dynamic approach of design and analysis of a structure in petrochemical facilities‚ with numerical simulation study aiming to characterize the various structural effects of vapor cloud explosion. Numerical time integration method is used for caring out the analysis‚ where in an program has been written in MS EXCEL to carry out the incremental solution by solving the dynamic equilibrium equation
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Examples for Runge-Kutta methods We will solve the initial value problem‚ du = − 2 u x 4 ‚ u(0) = 1 ‚ dx to obtain u(0.2) using x = 0.2 (i.e.‚ we will march forward by just one x). (i) 3rd order Runge-Kutta method For a general ODE‚ du = f x ‚ u x dx ‚ the formula reads u(x+x) = u(x) + (1/6) (K1 + 4 K2 + K3) x ‚ K1 = f(x‚ u(x)) ‚ K2 = f(x+x/2‚ u(x)+K1x/2) ‚ K3 = f(x+x‚ u(x)K1x+2 K2x) . In our case‚ f(x‚ u) = 2u + x + 4. At x = 0 (the initial state)‚ and
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India Packaged Food Industry escalating by double digit growth rate in the last five years: Ken research Busier lifestyles resulting in the demand for convenience products to persistently provide a major thrust to the growth in the packaged food sector in India New Delhi: 29/7/2013- Packaged food sector is presently the fifth largest sector in India and has grown rapidly over the past few years. India packaged food industry has escalated remarkably at a CAGR of 15.6% from FY’2007-FY’2013. The
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