Reorientation of the human body by means of arm motions
Arm motion effects on orientation of human body during free fall, and FORTRAN 4 program for solving equations
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Arm motion effects on orientation of human body during free fall, and FORTRAN 4 program for solving equations
Computer program for solving equations governing flow in axial turbines
Damped elastically supported cantilever beam equation solved for displacement
Vlasov-Maxwell equations solved for large amplitude oscillatory electric fields with uniform external magnetic field, considering initial plasma current
N matrix equations solved by pseudoinverse theory of matrices, describing techniques for recursive solutions, matrix rank and various vector tests
Laminar compressible boundary layer equations solved by quasi-linearization, considering pressure gradients and hypersonic layers
Low thrust station keeping guidance scheme for gravity gradient stabilized 24-hour satellite, solving equations of motion for near circular equatorial orbit
Buckling equations solved for equatorial segment of spherical shell loaded in axial direction by own weight
Coupled second-order differential equations solved to determine attitude stability of gyro controlled satellite
Nonlinear spinning shallow spherical shell equations solved for equilibrium stress and displacement distributions, discussing inertia loading
Low thrust station keeping guidance scheme for gravity gradient stabilized 24-hour satellite, solving equations of motion for near circular equatorial orbit
Finite difference method for solving equations for compressible turbulent boundary layers on swept infinite cylinders
In this paper a definition for acquisition of a sideband modulated carrier is proposed for the phase lock loop, and the acquisition differential equation solved for a region of the modulation parameter space to determine the expected value of acquisition time. Principally the case of modulation by a single unmodulated subcarrier is considered. The numerical analysis is made for the noiseless case.
FORTRAN subprograms for the solution of systems of linear algebraic equations are described, listed, and evaluated in this report. Procedures considered are direct solution, iteration, and matrix inversion. Both incore methods and those which utilize auxiliary data storage devices are considered. Some of the subroutines evaluated require the entire coefficient matrix to be in core, whereas others account for banding or sparceness of the system. General recommendations relative to equation solving are made, and on the basis of tests, specific subprograms are recommended.
A computer program can be used to determine the radiative flux and flux divergence through a nonisothermal planar slab of gas is described. The program considers species typical of air at high temperatures and nylon or carbon phenolic ablation products. The equations solved are for a variable optical depth line and continuum gas model using species cross sections and line widths as the basic data.
The stress concentrations due to an elliptical cutout in a shallow cylindrical shell are determined by means of a system of singular integral equations, solved numerically. Three loading conditions are considered: tension, and internal pressure. Results confirm those obtained by previous authors by other methods and extend the range of parameters over which results are available.
The dynamic response of a layered composite under normal and shear impact is analyzed by assuming that the composite contains an initial flaw in the matrix material. One of the objectives was to develop an analytical method for determining dynamic stress solutions which should lead to a numerical method which utilizes Fourier transform for the space variable and Laplace transform for the time variable. The time-dependent angle loading is separated into two parts: a symmetric and a skew-symmetric with reference to the crack plane. By superposition, the transient boundary conditions consist of applying normal and shear tractions to a crack embedded in a layered composite; one phase of the composite could represent the fiber while the other could be the matrix. Mathematically, these conditions reduce the problem to a system of dual integral equations solved in the transform plane for the transform of the dynamic stress-intensity factor.
The thin shear layer approximations of the three-dimensional, compressible Navier-Stokes equations are solved for subsonic, transonic, and supersonic flow over axisymmetric boattail bodies at moderate angles of attack. The plume is modeled by a solid body configuration identical to those used in experimental tests. An implicit algorithm of second-order accuracy is used to solve the equations on the ILLIAC IV computer. The turbulence is expressed by an algebraic model applicable to three-dimensional flow fields with moderate separation. The computed results compare favorably with three different sets of experimental data reported by Reubush, Shrewsbury, and Benek, respectively