The influence of washing machine-leg hardness on its dynamics response within component-mode synthesis techniques

Abstract In this paper, we investigate a washing machine's dynamic response. Using an experimental modal analysis, the dependence of the first two natural frequencies on the hardness of leg rubber is demonstrated. In order to model this behaviour, a complete washing-machine numerical model is developed, including a detailed model of the leg. A simple linear leg model is proposed, which accounts for the contact conditions and enables an implicit analysis. The model is validated, based on two measurements with different leg configurations. Additionally, the component-mode synthesis methods are proposed. They allow separate treatment of the washing machine's legs and cabinet, as well as reducing the model order. The four model-reduction techniques are compared with the classic finite-element method. It is shown that the component-mode synthesis methods enable fast recalculation times for the modified substructures, while the remaining structure is calculated only once. This leads to a computationally efficient analysis. A comparison of the results shows good agreement between the component-mode synthesis methods and the classic finite-element method.

[1]  Yong-hwa Park,et al.  Partitioned Component Mode Synthesis via a Flexibility Approach , 2004 .

[2]  M. Géradin,et al.  Mechanical Vibrations: Theory and Application to Structural Dynamics , 1994 .

[3]  Roy R. Craig,et al.  Substructure coupling for dynamic analysis and testing , 1977 .

[4]  O. S. Türkay,et al.  Formulation and implementation of parametric optimisation of a washing machine suspension system , 1995 .

[5]  Miha Pirnat,et al.  Introduction of the linear contact model in the dynamic model of laminated structure dynamics: An experimental and numerical identification , 2013 .

[6]  Yeon June Kang,et al.  DYNAMIC ANALYSIS OF AN AUTOMATIC WASHING MACHINE WITH A HYDRAULIC BALANCER , 2002 .

[7]  Andrea Maria Zanchettin,et al.  Velocity control of a washing machine: A mechatronic approach , 2012 .

[8]  Jin-Su Kim,et al.  Development of a sound quality index for the wash cycle process of front-loading washing machines considering the impacts of individual noise sources , 2015 .

[9]  Hai-Wei Chen,et al.  Stability analyses of a vertical axis automatic washing machine with a hydraulic balancer , 2011 .

[10]  D. Rixen A dual Craig-Bampton method for dynamic substructuring , 2004 .

[11]  R. Guyan Reduction of stiffness and mass matrices , 1965 .

[12]  R. Macneal A hybrid method of component mode synthesis , 1971 .

[13]  Miha Boltežar,et al.  DYNAMICAL BEHAVIOUR OF THE PLANAR NON-LINEAR MECHANICAL SYSTEM — PART I: THEORETICAL MODELLING , 1999 .

[14]  S. N. Voormeeren,et al.  Dynamic Substructuring Methodologies for Integrated Dynamic Analysis of Wind Turbines , 2012 .

[15]  R. Craig,et al.  On the use of attachment modes in substructure coupling for dynamic analysis , 1977 .

[16]  Miha Boltežar,et al.  DYNAMICAL BEHAVIOUR OF THE PLANAR NON-LINEAR MECHANICAL SYSTEM — PART II: EXPERIMENT , 1999 .

[17]  W. Soedel,et al.  ON THE PROBLEM OF OSCILLATORY WALK OF AUTOMATIC WASHING MACHINES , 1995 .

[18]  Andrew J. Kurdila,et al.  『Fundamentals of Structural Dynamics』(私の一冊) , 2019, Journal of the Society of Mechanical Engineers.

[19]  D. Rixen,et al.  General Framework for Dynamic Substructuring: History, Review and Classification of Techniques , 2008 .

[20]  S. Rubin Improved Component-Mode Representation for Structural Dynamic Analysis , 1975 .

[21]  Hai-Wei Chen,et al.  Study on steady-state response of a vertical axis automatic washing machine with a hydraulic balancer using a new approach and a method for getting a smaller deflection angle , 2011 .

[22]  David Nowell,et al.  Analytical and Numerical Models for Tangential Stiffness of Rough Elastic Contacts , 2012, Tribology Letters.

[23]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .