Suspension Design Optimization of a Washing Machine: Part I — Modeling and Validation Results

1993 ◽  
Author(s):  
O. S. Türkay ◽  
A. K. Tuğcu ◽  
I. T. Sümer ◽  
B. Kiray
Keyword(s):  
Design Optimization ◽  
Experimental Validation ◽  
Linear Time ◽  
Optimization Method ◽  
Companion Paper ◽  
Simulation Software ◽  
Horizontal Axis ◽  
Washing Machine ◽  
Rigid Body Dynamic ◽  
Linear Time Invariant

Abstract The development of a non-linear time invariant rigid body dynamic model and the experimental validation of the suspension system of a horizontal-axis washing machine has been discussed in previous works by the authors. In this paper (Part I), modeling and experimental validation of a different suspension configuration of a test washing machine is assessed. The simulation model predicts the transient and steady-state vertical and horizontal amplitudes within maximum errors of 10% and 14%, respectively. The results are consistent with the results of the previous work. Thus, the simulation software code is verified for a generalized suspension design optimization of horizontal-axis washing machines. In a companion paper (Part II), various formulations are discussed to select an objective function for parametric suspension design optimization and a parametric grid optimization method is implemented to the test washing machine introduced in this paper.

Suspension Design Optimization of a Washing Machine: Part II — Formulation and Implementation of Parametric Optimization

1993 ◽  
Author(s):  
B. Kiray ◽  
O. S. Türkay ◽  
A. K. Tuğcu ◽  
I. T. Sümer
Keyword(s):  
Design Optimization ◽  
Optimization Method ◽  
Companion Paper ◽  
Primary Objective ◽  
Washing Machine ◽  
Design Engineers ◽  
Shock Absorbers ◽  
Suspension Dynamics ◽  
Optimization Methodology ◽  
Future Work

Abstract This paper presents an optimization methodology for determining the optimal suspension characteristics of an automatic washing machine. Earlier publications by the authors have presented the modeling and experimental validation of the suspension dynamics of a horizontal-axis washing machine. That machine was characterized by the horizontal tub being suspended by three springs and supported by two dry-friction absorbers. A companion paper (Part I) assessed the modeling and validation of a different washing machine where the horizontal tub stands on four shock absorbers. In this paper (Part II) various formulations for the optimization of the suspension system introduced in Part I are described and implemented by using a parametric grid optimization method. The primary objective of this effort is to determine the most suitable criteria that will be employed for future washing machine design optimization with different configurations. It is concluded that a weighted multiobjective function subject to washing machine cabinet motion constraint is appropriate for this purpose. Future work will be toward the employment of an analytical optimization methodology in order to develop a complete design software that will be used by washing machine suspension design engineers.

Design Optimization Using Genetic Algorithms of Web Handling Systems: The Case of the Pendulum Dancer Mechanism

2007 ◽  
Author(s):  
Marc Vedrines ◽  
Dominique Knittel
Keyword(s):  
Genetic Algorithms ◽  
Design Optimization ◽  
Dynamic Behavior ◽  
Linear Time ◽  
State Space Model ◽  
Software Environment ◽  
Web Handling ◽  
Linear Time Invariant ◽  
Steady State Operation ◽  
Industry Applications

Web systems handling elastic webs are very common in industry. The plant considered in this paper is an industrial winding system with pendulum dancer mechanism. Such a studied dancer moves along an arc of circle. Its utility is double: it imposes the web tension (in steady state operation) and filters the variations of tension mechanically. It is actuated by an air jack with adjustable pressure and has a stiffness and viscous dynamic behavior. Pendulum dancers have been rarely presented and studied in publications. The non-linear model built in Matlab software environment is used as a simulator. Moreover, the state space model useful for modern controller computing can be found thanks to linearization around an operating point. In order to improve the unwinder-winder control performances, the mechanical parameters of the pendulum dancer have to be optimized. The more constant the dynamic behavior over a large frequency band will be, the better the performance of a linear time invariant controller will be obtained. This is the main objective in desensitizing the dancer. The optimization is achieved by using genetic algorithms. The obtained results are discussed and the benefits of this design optimization for industry applications are presented.

Computing Impulse Response of Room Acoustics Using the Ray-Tracing Method in Time Domain

2010 ◽  
Vol 35 (4) ◽  
pp. 505-519 ◽  
Author(s):  
Adil Alpkocak ◽  
Malik Sis
Keyword(s):  
Impulse Response ◽  
Linear Time ◽  
Simulation Software ◽  
Room Acoustics ◽  
New Approach ◽  
Linear Time Invariant ◽  
Linear Time Invariant System ◽  
Time Invariant ◽  
Time Invariant System

AbstractThis paper proposes a new approach for calculating the impulse response of room acoustics. Impulse response provides unique characterization of any discrete lineartime invariant (LTI) systems. We assume that the room is a linear time-invariant system and the impulse response is calculated simply by sending a Dirac Impulse into the system as input and getting the response from the output. Then, the output of the system is represented as a sum of time-shifted weighted impulse responses. Both mathematical justifications for the proposed method and results from simulation software developed to evaluate the proposed approach are presented in detail.

Nonsmooth Optimization Method for H∞ Output Feedback Control

2019 ◽  
Vol 36 (03) ◽  
pp. 1950015
Author(s):  
Qiong Wu ◽  
Jin-He Wang ◽  
Hong-Wei Zhang ◽  
Shuang Wang ◽  
Li-Ping Pang
Keyword(s):  
Feedback Control ◽  
Nonsmooth Optimization ◽  
Output Feedback ◽  
Closed Loop ◽  
Linear Time ◽  
Output Feedback Control ◽  
Initial Point ◽  
Optimization Method ◽  
Linear Time Invariant ◽  
Loop Transfer Function

This paper proposes a nonsmooth optimization method for [Formula: see text] output feedback control problem of linear time-invariant(LTI) systems based on bundle technique. We formulate this problem as a nonconvex and nonsmooth semi-infinite constrained optimization problem by quantifying both internal stability of closed-loop system and measurement of system performance, where [Formula: see text] norm of closed-loop transfer function and a stabilization channel is used. Our method uses progress function and bundle technique to solve the resulting problem which has a composite structure. We prove the convergence to a critical point from a feasible initial point and test some benchmarks to demonstrate the effectiveness of this method.

Modeling and Dynamic Analysis of the Suspension System of a Front Loaded Washing Machine

1992 ◽  
Author(s):  
O. S. Türkay ◽  
I. T. Sümer ◽  
A. K. Tuğcu
Keyword(s):  
Steady State ◽  
Mechanical Performance ◽  
Linear Time ◽  
Suspension System ◽  
Washing Machine ◽  
Friction Dampers ◽  
Helical Springs ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
Prototype Design

Abstract A non-linear time invariant dynamic model of the suspension system of a front-loaded washing machine has been formulated, programmed for simulation, and assessed experimentally A drum mounted in a tub which is hung to the cabinet by three linear helical springs and supported by two dry-friction dampers rotates together with an eccentric laundry mass. The displacement responses due to centrifugal excitation have been obtained for the spin-dry cycle ranging from 0rpm to 650rpm until steady-state has been reached The comparison of simulation and experimental results has demonstrated the validity of the model by predicting the steady-state and transient peak-to-peak vertical and horizontal amplitudes within 5% and 11% errors, respectively The mechanical performance and the “striking” and “stepping” phenomena can be assessed for prototype design purpose by undertaking a parametric investigation to the end of optimizing the design.

Modeling and Experimental Assessment of Suspension Dynamics of a Horizontal-Axis Washing Machine

1998 ◽  
Vol 120 (2) ◽  
pp. 534-543 ◽  
Author(s):  
O. S. Tu¨rkay ◽  
I. T. Su¨mer ◽  
A. K. Tugˇcu ◽  
B. Kiray
Keyword(s):  
Euler Method ◽  
Suspension System ◽  
Horizontal Axis ◽  
Washing Machine ◽  
Simulation Code ◽  
Rigid Body Dynamic ◽  
Shock Absorbers ◽  
Theoretical Predictions ◽  
Suspension Dynamics ◽  
Lift Off

In this paper a nonlinear time variant rigid body dynamic model of the suspension system of an horizontal-axis washing machine is derived using Newton-Euler method, programmed for simulation, and assessed experimentally. The model includes the shock absorbers, the non-linear stiffness of the bellows and also the decoupled spinup motor dynamics. The simulation model predicted the transient and steady-state vertical and horizontal amplitudes of the tub within acceptable errors for a prototype suspension system design. The lift-off and the sliding phenomena of the cabinet have been assessed experimentally using four triaxial piezoelectric force transducers. These were found to be in very good agreement with the theoretical predictions. The model and the simulation code are thus validated experimentally for suspension design optimization of horizontal-axis washing machines.

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