Authors: Wei Zhao, Ping Chen, Yi Min Zhang
Abstract: Based on the matrix calculus, the generalized second moment technique and the stochastic finite element theory, the effective approach for the transfer reliability of vibration transfer path systems was presented. The transfer reliability of vibration transfer path systems with uncertain path parameters including mass and stiffness was analyzed theoretically and computed numerically, and the correlated mathematical expressions were obtained. Thus, it provides the theoretical foundation for the dynamic design of vibration systems in practical project, so that most uncertain factors can be considered to solve the random problems for vibration transfer path systems.
778
Authors: Wei Zhao, Na Zhou, Yi Min Zhang
Abstract: Based on the Sobol’ theory, Hamma and Saltelli indicator system, the path parameters were divided into the different subsets for the vibration transfer path systems with random paths in this paper. The object function was constructed and decomposed, thus the global sensitivity based on variances was formed. The first-order and total sensitivities of various parameter subsets were calculated using Monte-Carlo simulation method combined with Latin hypercube sampling technique. Through the analysis example, the way is feasible to analyze the interaction of paths or path parameters in the vibration transfer path systems with uncertainty.
274
Authors: Wei Zhao, Na Zhou, Yi Min Zhang
Abstract: This paper based on the generalized probabilistic perturbation finite element method solves the random response analysis problem of vibration transfer path systems with translational and rotational motions. The effective random response analysis approaches are achieved using Kronecker algebra, matrix calculus, generalized second moment technique of vector-valued functions and matrix-valued functions. For the vibration transfer path system with multi-dimensional paths, the random response is described correctly and expressly in time domain as uncertain factors, which include mass, damping, stiffness and position, are considered. The mathematical expressions of the first order and second order moments for the random vibration response of vibration transfer path are obtained. According to the corresponding numerical example, the results of calculation are consistent with the results of Monte-Carlo simulation, which shows the method is feasible theoretically.
1543
Abstract: According to Input-Output table portraying the conduction path of carbon footprint among industries, and define the impact of the energy sources industry for other industries on carbon emissions, the paper provide specific and workable methods for energy saving and emission reduction. Constructing the input-output model of carbon footprint of Henan Province by Input-Output method based on the energy consumption data. Using input coefficient, output coefficient and the method of triangulation, identify conduction path of carbon footprint of the energy sources industry among industries in Henan Province. According to the analysis of energy industry in Henan province, the paper introduces the characteristic of carbon emissions of the energy industry and Put forward the ideas of energy conservation and emission reduction taking the energy industry as the breakthrough point.
1185
Authors: Wei Zhao, Yi Min Zhang
Abstract: A new way, which is used to analysis the path contribution, is presented for the vibration transfer path systems considering the interact of vibration source, transfer path and receiver. It is that the path contribution is evaluated using the path transfer probability. According to the dynamic characteristics of vibration systems, the new concept of path transfer probability is given. Based on the generalized probabilistic perturbation method and the reliability theory, the computational approach for path transfer probability with uncertain physics and geometry factors in time range are presented. The transfer probability of vibration transfer path systems with translational and rotational motions is analyzed and calculated via a numerical example, which shows that the proposed method is feasible.
4532
Authors: Qun Zhao, Chen Zhang, Jin Fang Zhao
Abstract: On the basis of the powerflow theory and four-end parameter analysis method, the responses and the powerflow characteristics of the vibration transfer path system are examined. The sensitivity of non-linear damping is employed as measurement criterion. The powerflow and powerflow sensitivity are obtained and the effect on powerflow and powerflow sensitivity of dry friction damping, fluid damping and structural damping is studied. Numerical results are also presented and discussed. It is supposed to study the sensitivity of these parameters, to estimate the effect of the change of parameters, to improve the design performance.
389