Prototype guardrails, bridge rails, crash cushions and other roadside safety hardware have been designed in part by using engineering judgment, experience and intuition. These prototypes have been later evaluated by performing full-scale crash tests representing expected worst case scenarios. Since these tests are relatively expensive and because they require specialized facilities and personne...

An analytical formula for energy distribution in a neutral gas of point vortices is obtained. Corresponding numerical results are in full agreement with those of Campbell and O’Neil.

resistance literature is full of patriotism and liberalism. the resistance poet defends the aims of his hometown by his poetry weapon and applies his poem at his country’s political and social service. thus the resistance poetry contains a strong epic and national spirit. this kind of literature calls people for defending their grand ideals. tamim al-barghouti is a young palestinian famous poet...

the normalized full gradient (nfg) method defined by berezkin (1967, 1973 and 1998) is used for downward continuation maps. analytical downward continuation is a method to estimate the field closer to the source and consequently results in a better resolution of underground rock distribution. however, the usefulness of this process is limited by the fact that the operation is extremely sensitiv...

a new modified adomian decomposition method (adm) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes. the nanoactuators in electrolytes are subject to different nonlinear forces including ionic concentration, van der waals, external voltage and electrochemical forces. the duan–rach modified adomian decomposition method is ut...

in this paper, we introduce a family of fractional-order chebyshev functions based on the classical chebyshev polynomials. we calculate and derive the operational matrix of derivative of fractional order $gamma$ in the caputo sense using the fractional-order chebyshev functions. this matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...

The optimization of technical processes requires a sufficient understanding of the interrelations in a process. More specifically, this means that a model of the given process is needed. Traditional methods for modeling technical processes are based on analytical relationships that are either explicit formulas derived from knowledge in physics, chemistry or engineering science or given as solut...

An analytical model considering modulation-dependent nonlinear effects and second-order interactions between signal and optical amplifier noise is presented for Nyquist-spaced wavelength-division-multiplexing optical communication systems. System performance of dual-polarization modulation formats, such as DP-QPSK, DP-16QAM, and DP-64QAM, is investigated using both the analytical model and nume...