Tuned liquid damper with membrane liquid-air interface
A technology for tuning liquid damping and gas, which is applied in the direction of gas-liquid dampers, shock absorbers, shock absorbers, etc., and can solve problems such as damper tuning and suppression of wind-induced vibration.
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example 1
[0083] Example 1: Derivation of the gas spring model
[0084] The stiffness and damping of the TLDM disclosed herein are controlled by gas springs. As described above and illustrated by the figures provided, a gas spring can be formed from an enclosed volume of gas separated from a liquid column by a membrane and divided into two compartments with an opening in between or orifice. The mathematical model for this type of gas spring is hereinafter based on Figure 7A The exemplary aspect derivation shown in . For the purposes of this analysis, it is assumed that the gas inside the spring is ideal and will undergo isentropic transformations as the spring expands and contracts. Under these assumptions, the volume V and pressure P of any given mass of gas in the spring obey Equation 1 below, where γ is the heat capacity ratio of the gas:
[0085] PV γ = constant (1)
[0086] Figure 7B The model of the spring is shown in . V A and V B is the volume of the two compartments a...
example 2
[0112] Example 2: Test TLDM
[0113] Such as Figure 8A As shown in , a scale model of a TLDM according to an exemplary aspect of the present disclosure is mounted on a two-level table representing an underdamped structure. The parameters of this experimental model are summarized in Figure 8B with Figure 8C middle.
[0114] Without a damper, the first dynamic model of the table has a period T t =0.81s, damping ratio ξ t = 1.7% and the model mass μ t = 245Kg. Figure 8A The damper model shown in is designed to have the same period as the table:
[0115] Gas spring pressure: P 0 =P atm +ΔP 0 =1.013 10 5 Pa
[0116]
[0117] The water mass is 4.5% of the table model mass. Although the exact value of the damping ratio will be determined experimentally, a relatively large orifice is used in the gas spring to have low damping in the damper. The TLDM can be started or stopped by opening or closing the gate on the gas spring. When the gate is closed, the stiffness...
example 3
[0122] Example 3: Testing further exemplary aspects of TLDM
[0123] test Figure 6A The hybrid TLDM system shown in , to demonstrate the low stiffness and damping at the membrane interface. Figure 6B Photographs of the experimental setup are provided. as by Figure 6A As shown, the test setup consisted of a water column with a gas spring at one end and vented to atmosphere at the other end. The pressure of the gas spring at rest is ΔP higher than atmospheric pressure due to the head at the open end 0 . The stiffness of the gas spring is given by Equation 14, using γ = 1.4 for air:
[0124]
[0125] Neglecting the stiffness of the membrane, the overall stiffness k of the system is obtained by adding only the gravitational stiffness at the open end, where ρ w is the mass density of water and g is the acceleration due to gravity:
[0126] k=k s +ρ w gA=5,366N.m -1
[0127] Then the period T of the system is:
[0128]
[0129] The test consisted of releasing th...
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