We herein propose a simple but accurate method for calculating the dynamic properties of an air spring that uses an orifice to produce a damping force. Air springs are commonly used in rail, automotive, and vibration isolation applications. However, because this type of air spring has nonlinear flow characteristics, accurate approaches have not yet been proposed. The restoring and damping forces in an air spring with an orifice damper vary with the amplitude of the body. This amplitude dependency has not been considered in previous studies. We herein propose a simple model for calculating the air spring constant and damping coefficient. However, this requires iterative calculation due to the nonlinearity of the air spring. The theoretical and experimental results are found to agree well with each other. The theoretical equations provide an effective tool for air spring design.
This paper proposes a simple expression for calculating the restoring and damping forces of an air spring equipped with a small pipe. Air springs are commonly used in railway vehicles, automobiles, and various vibration isolators. The air spring discussed in this study consists of two tanks connected by a long pipe. Using a pipe instead of an orifice enables flexibility in the arrangement of the two tanks. In addition, this makes it possible to manufacture a thin air spring. A vertical translational oscillating system, which consists of a single mass supported by this type of air spring, looks like a single-degree-of-freedom (SDOF) system. However, it may have two resonance points. In this paper, we propose a vibratory model of a system supported by the air spring. With the proposed model it is possible to correctly reproduce the two resonance points of a system consisting of a single mass supported by this type of air spring. In our analysis, assuming that the vibration amplitude is small and the flow through the pipe is laminar, we derive the spring constant and damping coefficient of an air spring subjected to a simple harmonic motion. Then, we calculate the frequency response curves for the system and compare the calculated results with the experimental values. According to the experiment, there is a remarkable amplitude dependency in this type of air spring, so the frequency response curves for the system change with the magnitude of the input amplitude. It becomes clear that the calculation results are in agreement with the limit case when the input amplitude approaches zero. We use a commercially available air spring in this experiment. Our study is useful in the design of thin air spring vibration isolators for isolating small vibrations.
This paper proposes a simple but accurate method for calculating the dynamic properties of an air spring employing an orifice to produce a damping force. Air springs are very common in rail, automobile, and vibration isolation applications. However, because this type of air spring has non-linear flow characteristics, an accurate analysis approach is yet to be proposed up to the present day. The restoring and damping force in an air spring with an orifice damper vary with the amplitude of the body. This amplitude dependency has not been considered in previous studies. Proposed herein is a simple model for calculating the air spring constant and damping coefficient. However, iterative calculation is required due to the non-linearity of the spring. The theoretical and experimental results are found to agree well each other. The theoretical equations provide an effective tool for air spring design.
This paper proposes a simple but accurate method for calculating the vibration properties of an air spring employing a circular tube to produce a damping force , Air springs are very colnmon in rail , automotive , and vibration isolation applicatiQns , because they have many advantages over metal springs , Air spring dealt with this study consists of two tanks and a circular tube which connect them . By using the circular tube , the reservoir tank becomes more flexible , and the apphcation range of an air spring extends . However, the vibration prediction is dif 且cult , because the fluid flow in circular tube is very complex . In addition , it has two resonance peaks though mass is one . To soive these problems , we propose the anaiytical method and theoretlcal equations that predict vibration properties of an air spring accurately , To validate the utility of theoretical equations , the theoretical values are compared wlth experimental values
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