Arrays VelocityX[], VelocityY[], and VelocityZ[] are one-dimensional arrays of double type. Elements, VelocityX[0], VelocityY[0], and VelocityZ[0] express the component of velocity of the 0th particle inx,y, andzdirections, respectively. In this case, all the velocity components of the...
G.B. Warburton, Formulae for errors for initial displacement and velocity problems using the Newmark method, Earthquake Engineering and Structural Dynamics 18 (1989) 565-573.Warburton, G.B., "Formulae for errors for initial displacement and velocity problems using the Newmark method", Earthquake ...
A class of functions is described by the formula y=Ct/C2−t2 for each real number. Is there a function in this family such that y=2 when t=1? Such that y=1 when t=2? B 7. A particle moves along the x-axis so that its velocity at any time t≥0 is given by v(t)=1/(...
We make a very natural assumption, as is the case with many physical systems (cf. [3]), that uncertainty appears through the initial velocity value. Since the one-dimensional version of Eq. (1.1) was proposed by Woinowsky-Krieger [28], there have been many researches focused on the ...
This paper is devoted to the problem of minimax optimal control problems of an extensible beam equation with distributed controls and initial velocity disturbances (or noises). The existence of optimal solutions for distributed control with fixed disturb
We are concerned with global finite-energy solutions of the three-dimensional compressible Euler–Poisson equations with gravitational potential and g
Sh ϭ 0.664Re1/2 ⅐ Sc1/3, (6) ͩ ͪD hm ϭ Sh L , (7) where Sh is the Sherwood number; Re ϭ v ⅐ L/v is the Reynold number, v (m/sec) is the average air velocity above the specimen surface, v (m2/sec) is kinematics vis- cosity, and Sc ϭ v/...
Using a standard two-dimensional physics example, consider a point with an initial position of (0, 0), with an initial velocity of (100, 100) feet per second, and under the force of gravity resulting in a uniform acceleration of (0, 232) feet per second. Assume a delta time interval ...
Let a solenoidal initial velocity be given in the function space B˙pq,0α−22(R+n) for 0<α<2, 1<p,q<∞ with α+1=np+2q and 2q<1+np. We prove the global in time existence of weak solution u∈Lq(0,∞;B˙pqα(R+n))∩Lq0(0,∞;Lp0(R+n)) for some p<p0<∞ and...
1. A time-of-flight mass spectrometer apparatus that allows for correction of an initial ion velocity distribution comprising: an ion source where ions are formed, each ion having an initial kinetic energy; an upstream ion flight region; a downstream ion flight region; a reflectron for reflectin...