finding the most appropriate governing equation under different environmental conditions is the most important step for both designing sorption systems and pollutant transport modeling. in this study, the second order model based on the sorbent concentration is theoretically and experimentally investigated. a circular flume was used for the sorption of cadmium by zeolite to simulate the natural...

The work presented here addresses the evaluation of the stochastic response of nonlinear FE-systems with a relatively large number of degrees of freedom (DOF’s) under random excitation. In order to perform a realistic analysis for such systems, FE-models with nonlinearities are generally considered. Most of the available analytical and numerical methods to calculate the stochastic response are ...

To calculate the pressure pulsations in pipelines in frequency domain, it is necessary to linearize the nonlinear damping function jqjq, under the condition that the flow q is periodic, but not sinusoidal. The authors have proposed an idea that two equivalent linearization coefficients should be determined in such cases. To verify the idea, the responses of pressure pulsation in a simple pipeli...

A discrete-adjoint formulation is presented for the three-dimensional Euler equations discretized on a Cartesian mesh with embedded boundaries. The solution algorithm for the adjoint and flow-sensitivity equations leverages the Runge–Kutta time-marching scheme in conjunction with the parallel multigrid method of the flow solver. The matrix-vector products associated with the linearization of th...

Describing function is an equivalent gain of nonlinear element, defined by the harmonic linearization method of nonlinear static characteristic (Novogranov, 1986, Slotine and Li, 1991, Schwarz and Gran, 2001, Vukic et al. 2003 and many others). It is a known method of analysis and synthesis when nonlinear system can be decoupled into linear and nonlinear parts (Fig. 1). If the linear part of th...

State of charge (SOC) estimation is of great significance for the safe operation of lithium-ion battery (LIB) packs. Improving the accuracy of SOC estimation results and reducing the algorithm complexity are important for the state estimation. In this paper, a zeroaxial straight line, whose slope changes along with SOC, is used to map the predictive SOC to the predictive open circuit voltage (O...

The background field method (BFM) for the Poisson Sigma Model (PSM) is studied as an example of the application of the BFM technique to open gauge algebras. The relationship with Seiberg-Witten maps arising in non-commutative gauge theories is clarified. It is shown that the implementation of the BFM for the PSM in the Batalin-Vilkovisky formalism is equivalent to the solution of a generalized ...

The paper presents an overview of linearization methods of the non-linear state equation. The linearization is developed from the point of view of the application in the theoretical electrotechnics. Some aspects of these considerations can be used in the control theory. In particular the main emphasis is laid on three methods of linearization, i.e.: Taylor’s series expansion, optimal linearizat...