Multi-objective system optimization method and experimental validation of a centralized squeeze film damper using a cell mapping method considering dynamic constraints

2020 ◽  
pp. 1-21 ◽  
Author(s):  
Wei Zhang ◽  
Bingbing Han ◽  
Xiang Li ◽  
Jianqiao Sun ◽  
Qian Ding
1986 ◽  
Vol 53 (3) ◽  
pp. 702-710 ◽  
Author(s):  
H. M. Chiu ◽  
C. S. Hsu

In this second part of the two-part paper we demonstrate the viability of the compatible simple and generalized cell mapping method by applying it to various deterministic and stochastic problems. First we consider deterministic problems with non-chaotic responses. For this class of problems we show how system responses and domains of attraction can be obtained by a refining procedure of the present method. Then, we consider stochastic problems with stochasticity lying in system parameters or excitation. Next, deterministic systems with chaotic responses are considered. By the present method, finding the statistical responses of such systems under random excitation also presents no difficulties. Some of the systems studied here are well-known. New results are, however, also obtained. These are results on Duffing systems with a stochastic coefficient, the global results of a Duffing system shown in Section 4, the results on strongly nonlinear Duffing systems under random excitations reported in Section 7.2, and the strange attractor results for systems subjected to random excitations.


2021 ◽  
Author(s):  
Wei Li ◽  
Christopher Braman ◽  
Brian Hantz ◽  
Manish Thorat ◽  
Brian Pettinato

1986 ◽  
Vol 53 (3) ◽  
pp. 695-701 ◽  
Author(s):  
C. S. Hsu ◽  
H. M. Chiu

In the past few years as an attempt to devise more efficient and more practical ways of determining the global behavior of strongly nonlinear systems, two cell-to-cell mapping methods have been proposed, namely, the simple cell mapping and the generalized cell mapping. In this first part of the two-part paper we present a different and more efficient cell mapping method for treating nonlinear vibration problems. The vibratory systems may be deterministic or stochastic. The method utilizes compatible simple and generalized cell mapping and it combines the advantages of both. Applications to various systems will be presented in the second part of the paper.


Author(s):  
Yong-Zhong Lu ◽  
Dao-Xun Liao

A dynamic model of a flexible rotor-sliding bearing system with squeeze film damper (SFD) is established. In the model are oil film inertia force, damping force, clearance excitation force, interference force of different frequencies and static load considered, as opposed to the previous research. On the basis of this model, then optimal design of the system is deeply studied. Simulation shows that the system optimization design can effectively improve the system stability.


Author(s):  
Pierpaolo Belardinelli ◽  
Stefano Lenci

The work is devoted to the development of efficient parallel algorithms for the computation of large-scale basins of attraction. Since the required computational resources increase exponentially with the dimension of a dynamical system, it is common to get into memory saturation or in a secular elaboration time. This paper presents a code, based on a cell mapping method, that evaluates basins of attraction for high-dimensional systems by exploiting the parallel programming. The proposed approach, by using a double-step algorithm, permits, i) to fully determine the basins in all the dimensions ii) to evaluate 2D Poincaré sections of the system. The code is described in all its parts: the shell, in charge of the core management, permits to split over a multi-core environment the computing domain, it carries out an efficient use of the memory. A preliminary analysis of the performances is undertaken also by considering different dimensional grids; the optimal balance between computing cores and memory management cores is studied.


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