Abstract
A linear dynamic model of a front-loading type washing machine was developed in this study. The machine was conceptualized with three moving rigid bodies, revolute joints, springs, and dampers along with prescribed rotational drum motion. Kane’s method was employed for deriving the equations of motion of the idealized washing machine. Since the modal and transient characteristics can be conveniently investigated with a linear dynamic model, the linear model can be effectively used for the design of an FL type washing machine. Despite the convenience, however, the reliability of the linear dynamic model is often restricted to a certain range of system parameters. Parameters relevant to the reliability of the linear dynamic model were identified and the parameters’ ranges that could guarantee the reliability of the proposed linear dynamic model were numerically investigated in this study.
Highlights
Most washing machines manufactured today consist of a cabinet, tub, motor, drum, and suspension that consists of springs and dampers
The drum is usually embraced by a tub and it rotates around an axis that is either horizontal or vertical to the base plane
If the rotating axis is vertical to the base plane, the washing machine is classified as the top-loading type; if the rotating axis is horizontal to the base plane, it is classified as the front-loading type
Summary
Most washing machines manufactured today consist of a cabinet, tub, motor, drum, and suspension that consists of springs and dampers. Kamarudin et al [8] derived linear equations of motion of an FL type washing machine and conducted dynamic, frequency response, and relative movement analyses between the tub and drum. A washing machine was modeled as a multibody system posessing three rigid bodies, multiple joints, springs, and dampers along with a prescribed rotational drum motion. In order to derive the equations of motion using Kane’s method, velocities of the mass center points and the angular velocities of the three rigid bodies need to be expressed in terms of generalized speeds. In order to derive the generalized inertia forces, the angular accelerations of the three rigid bodies and accelerations of the three mass centers need to be obtained using the following formulas. The inertia dyadics of the three rigid bodies (tub, shaft, and drum) about their mass centers can be expressed as follows: I1. Notations (Fr )C and (Fr )N denote the generalized active forces obtained by the
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