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CN203627631U - Semi-active parallel air spring - Google Patents

Semi-active parallel air spring Download PDF

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Publication number
CN203627631U
CN203627631U CN201320892254.XU CN201320892254U CN203627631U CN 203627631 U CN203627631 U CN 203627631U CN 201320892254 U CN201320892254 U CN 201320892254U CN 203627631 U CN203627631 U CN 203627631U
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air
cavity
chamber
air valve
resorption
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石冰
章新杰
张玉新
郭孔辉
许男
李志华
黄海东
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Jilin University
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Jilin University
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Abstract

本实用新型涉及一种半主动并联空气弹簧,由上腔气阀、压力传感器、气缸、上气室、密封圈、充气泵、浮动活塞、下气室、下腔气阀、气管、活塞杆和控制器组成。本实用新型结构简单,成本相对低廉,安装方便,在两个方向运动时,都可以产生较大的弹性力,并且弹簧刚度也逐渐增大;而且可以结合相应的控制算法,根据上下压力传感器信号得到的汽车初始负载,并调节其初始刚度,同时可以起到调节车身高度的作用,并且可在汽车行驶过程中根据路面状况,实时对其刚度进行调节,以提高车辆的乘坐舒适性、操纵稳定性及通过性。

The utility model relates to a semi-active parallel air spring, which consists of an upper chamber air valve, a pressure sensor, a cylinder, an upper air chamber, a sealing ring, an air pump, a floating piston, a lower air chamber, a lower chamber air valve, an air pipe, a piston rod and Controller composition. The utility model has the advantages of simple structure, relatively low cost, and convenient installation. When moving in two directions, it can generate relatively large elastic force, and the spring stiffness also gradually increases; Get the initial load of the car and adjust its initial stiffness, which can also play a role in adjusting the height of the car body, and can adjust the stiffness in real time according to the road surface conditions during the driving process of the car to improve the ride comfort and handling stability of the car sex and passability.

Description

半主动并联空气弹簧Semi Active Parallel Air Spring

技术领域technical field

本实用新型属于汽车减振技术领域,具体涉及一种刚度可调的半主动并联空气弹簧。The utility model belongs to the technical field of automobile vibration reduction, in particular to a semi-active parallel air spring with adjustable stiffness.

背景技术Background technique

汽车的乘坐舒适性越来越受到人们的关注。现有技术中,车辆上使用较多的弹簧元件多数为螺旋弹簧,并且其弹簧刚度是不变的,传统的空气弹簧虽然刚度可以变化,但是其刚度往往是在压缩时逐渐增大,拉伸时却逐渐减小,这样就不能满足许多悬置装置或者减振装置的要求。The ride comfort of automobiles has been paid more and more attention by people. In the prior art, most of the spring elements used in vehicles are coil springs, and their spring stiffness is constant. Although the stiffness of traditional air springs can be changed, their stiffness tends to increase gradually when compressed, and when stretched. However, the time gradually decreases, so that it cannot meet the requirements of many suspension devices or vibration damping devices.

发明内容Contents of the invention

本实用新型的目的是提供一种半主动并联空气弹簧,能够使悬置装置或减振装置在压缩和拉伸时,弹簧刚度都能逐渐增大,而且可以根据汽车初始位置负载调节其初始刚度,同时可以起到调节车身高度的作用;并且可在汽车行驶过程中根据路面状况,实时对其刚度进行调节。The purpose of this utility model is to provide a semi-active parallel air spring, which can make the spring stiffness gradually increase when the suspension device or the shock absorber is compressed and stretched, and its initial stiffness can be adjusted according to the load at the initial position of the car , at the same time, it can play the role of adjusting the height of the vehicle body; and the stiffness can be adjusted in real time according to the road surface conditions during the driving of the car.

本实用新型通过以下技术方案实现:The utility model is realized through the following technical solutions:

一种半主动并联空气弹簧,包括上腔气阀1、上腔压力传感器2A、下腔压力传感器2B、气缸3、上气室4、密封圈5、上腔充气泵6A、下腔充气泵6B、浮动活塞7、下气室8、下腔气阀9、上腔气管10A、下腔气管10B、活塞杆11和控制器12。A semi-active parallel air spring, including an upper chamber air valve 1, an upper chamber pressure sensor 2A, a lower chamber pressure sensor 2B, a cylinder 3, an upper chamber 4, a sealing ring 5, an upper chamber air pump 6A, and a lower chamber air pump 6B , Floating piston 7, lower air chamber 8, lower chamber air valve 9, upper chamber trachea 10A, lower chamber trachea 10B, piston rod 11 and controller 12.

所述的浮动活塞7把气缸3的内部空间分成上气室4和下气室8两个部分,在上气室4的上端有上腔气阀1,下气室8的底端有下腔气阀9,活塞杆11和浮动活塞7连接在一起,密封圈5套在浮动活塞7的外端,以确保上下气室具有良好的密封性。The floating piston 7 divides the inner space of the cylinder 3 into two parts, the upper air chamber 4 and the lower air chamber 8, the upper end of the upper air chamber 4 has an upper chamber air valve 1, and the lower end of the lower air chamber 8 has a lower chamber The air valve 9, the piston rod 11 and the floating piston 7 are connected together, and the sealing ring 5 is sleeved on the outer end of the floating piston 7 to ensure good sealing of the upper and lower air chambers.

所述的上腔充气泵6A、下腔充气泵6B分别通过上腔气管10A、下腔气管10B与上腔气阀1、下腔气阀9相连。The upper cavity air pump 6A and the lower cavity air pump 6B are respectively connected to the upper cavity air valve 1 and the lower cavity air valve 9 through the upper cavity air tube 10A and the lower cavity air tube 10B.

所述的上腔压力传感器2A、下腔压力传感器2B分别布置在气缸3的上端面和下端面,对上气室4、下气室8内的气体压力进行实时监测,并将压力信号输送到控制器12中。The upper chamber pressure sensor 2A and the lower chamber pressure sensor 2B are respectively arranged on the upper end surface and the lower end surface of the cylinder 3 to monitor the gas pressure in the upper air chamber 4 and the lower air chamber 8 in real time, and send the pressure signal to In the controller 12.

所述的控制器12的输入端与两个压力传感器2A、2B的输出相连,输出端与充气泵6A、6B相连。The input end of the controller 12 is connected with the outputs of the two pressure sensors 2A, 2B, and the output end is connected with the air pumps 6A, 6B.

所述的控制器12根据两个压力传感器2A、2B测得的压力信号,控制充气泵6A、6B和气阀1、9;当需要的弹簧刚度大时,控制器12控制充气泵6A、6B向上下气室4、8充气;当需要的弹簧刚度小时,控制器12控制气阀1、9开启,使上下气室4、8放气。The controller 12 controls the air pumps 6A, 6B and air valves 1, 9 according to the pressure signals measured by the two pressure sensors 2A, 2B; when the required spring stiffness is large, the controller 12 controls the air pumps 6A, 6B to move upward The lower air chambers 4 and 8 are inflated; when the required spring stiffness is small, the controller 12 controls the opening of the air valves 1 and 9 to deflate the upper and lower air chambers 4 and 8.

可选地,本实用新型也可以只包含一个充气泵6,通过上腔气管10A、下腔气管10B与上腔气阀1、下腔气阀9相连。同时对上下气室4、8充放入相同压力的气体,实现可调节大小的对称弹簧刚度;或者通过调节气阀1、9实现上下气室4、8压力不同,得到可调节大小的不对称弹簧刚度。Optionally, the utility model may only include an air pump 6, which is connected to the upper cavity air valve 1 and the lower cavity air valve 9 through the upper cavity air tube 10A and the lower cavity air tube 10B. At the same time, the upper and lower air chambers 4 and 8 are filled with gas of the same pressure to achieve adjustable symmetric spring stiffness; or by adjusting the air valves 1 and 9 to achieve different pressures in the upper and lower air chambers 4 and 8 to obtain adjustable asymmetry spring rate.

本实用新型的工作过程为:The working process of the present utility model is:

1)在车辆起步之前,利用压力传感器2A、2B测得的上下气室4、8的压力信号,利用压力差即可得到车辆的负载;通过充气泵6A、6B分别从上腔气阀1和下腔气阀9向气室内充入一定量的气体,这样既可以根据负载状况调节车身高度,也可以控制气室的初始体积。1) Before the vehicle starts, the pressure signals of the upper and lower air chambers 4 and 8 measured by the pressure sensors 2A and 2B can be used to obtain the load of the vehicle by using the pressure difference; The lower chamber air valve 9 fills the air chamber with a certain amount of gas, so that the vehicle body height can be adjusted according to the load condition, and the initial volume of the air chamber can also be controlled.

2)在处于被动模式时,气阀1、9均关闭:2) When in passive mode, both air valves 1 and 9 are closed:

在外界作用力的作用下,当活塞杆11向上运动时,推动浮动活塞7向上运动,压缩上气室4,使上气室4的气体压力逐渐增大,活塞杆11向上移动的位移越大,上气室4产生的压力越大;Under the action of external force, when the piston rod 11 moves upward, the floating piston 7 is pushed upward, compressing the upper air chamber 4, so that the gas pressure in the upper air chamber 4 gradually increases, and the greater the upward displacement of the piston rod 11 , the greater the pressure generated by the upper air chamber 4;

当活塞杆11向下运动时,拉动浮动活塞7向下运动,压缩下气室8,使下气室8的压力逐渐增大,活塞杆11向下移动的位移越大,下气室8产生的压力越大;When the piston rod 11 moves downward, the floating piston 7 is pulled to move downward, compressing the lower air chamber 8, so that the pressure of the lower air chamber 8 gradually increases, and the greater the downward displacement of the piston rod 11, the lower air chamber 8 generates the greater the pressure;

这样就实现了弹簧刚度随着位移的增大而不断增大。In this way, the spring stiffness increases continuously with the increase of the displacement.

3)在处于半主动模式时,控制器12根据两个压力传感器2A、2B测得的压力信号,实时地控制充气泵6A、6B的供气压力和气阀1、9的开启与关闭;实时的对上下气室4、8充放气,实现并联空气弹簧的半主动控制,以提高汽车平顺性。3) When in the semi-active mode, the controller 12 controls the air supply pressure of the air pumps 6A, 6B and the opening and closing of the air valves 1, 9 in real time according to the pressure signals measured by the two pressure sensors 2A, 2B; real-time Inflate and deflate the upper and lower air chambers 4 and 8 to realize the semi-active control of parallel air springs to improve the ride comfort of the vehicle.

本实用新型结构简单,成本相对低廉,安装方便,在两个方向运动时,都可以产生较大的弹性力,并且弹簧刚度也逐渐增大;而且可以根据上下压力传感器信号得到的汽车初始负载,并调节其初始刚度,同时可以起到调节车身高度的作用,并且可在汽车行驶过程中根据路面状况,实时对其刚度进行调节,以提高车辆的乘坐舒适性、操纵稳定性及通过性。The utility model has the advantages of simple structure, relatively low cost and convenient installation. When moving in two directions, a large elastic force can be generated, and the spring stiffness also gradually increases; and the initial load of the car can be obtained according to the signal of the upper and lower pressure sensors, And adjust its initial stiffness, at the same time, it can play the role of adjusting the height of the vehicle body, and can adjust its stiffness in real time according to the road surface conditions during the driving process of the car, so as to improve the ride comfort, handling stability and passability of the vehicle.

附图说明Description of drawings

图1为本实用新型的一种实施例。Fig. 1 is a kind of embodiment of the utility model.

图2为本实用新型的另一种实施例。Fig. 2 is another embodiment of the utility model.

图3为本实用新型的刚度特性曲线。Fig. 3 is the stiffness characteristic curve of the utility model.

图中:In the picture:

1、上腔气阀;2A、上腔压力传感器;2B、下腔压力传感器;1. Upper chamber air valve; 2A, upper chamber pressure sensor; 2B, lower chamber pressure sensor;

3、气缸;4、上气室;5、密封圈;6、充气泵;6A、上腔充气泵;3. Cylinder; 4. Upper air chamber; 5. Seal ring; 6. Air pump; 6A, Upper cavity air pump;

6B、下腔充气泵;7、浮动活塞;8、下气室;9、下腔气阀;6B, lower cavity air pump; 7, floating piston; 8, lower air chamber; 9, lower cavity air valve;

10A、上腔气管;10B、下腔气管;11、活塞杆;12、控制器;10A, upper cavity trachea; 10B, lower cavity trachea; 11, piston rod; 12, controller;

F、浮动活塞的受力;s、浮动活塞的位移。F, the force of the floating piston; s, the displacement of the floating piston.

具体实施方式Detailed ways

下面结合附图对本实用新型进行详细说明。The utility model is described in detail below in conjunction with accompanying drawing.

如图1,为本实用新型的一种实施例,所示的一种半主动并联空气弹簧,包括上腔气阀1、上腔压力传感器2A、下腔压力传感器2B、气缸3、上气室4、密封圈5、上腔充气泵6A、下腔充气泵6B、浮动活塞7、下气室8、下腔气阀9、上腔气管10A、下腔气管10B、活塞杆11和控制器12。As shown in Figure 1, it is an embodiment of the utility model, a semi-active parallel air spring shown, including an upper cavity air valve 1, an upper cavity pressure sensor 2A, a lower cavity pressure sensor 2B, a cylinder 3, and an upper air chamber 4. Sealing ring 5, upper cavity air pump 6A, lower cavity air pump 6B, floating piston 7, lower air chamber 8, lower cavity air valve 9, upper cavity trachea 10A, lower cavity trachea 10B, piston rod 11 and controller 12 .

所述的浮动活塞7把气缸3的内部空间分成上气室4和下气室8两个部分,在上气室4的上端有上腔气阀1,下气室8的底端有下腔气阀9,活塞杆11和浮动活塞7连接在一起,密封圈5套在浮动活塞7的外端,以确保上下气室具有良好的密封性。The floating piston 7 divides the inner space of the cylinder 3 into two parts, the upper air chamber 4 and the lower air chamber 8, the upper end of the upper air chamber 4 has an upper chamber air valve 1, and the lower end of the lower air chamber 8 has a lower chamber The air valve 9, the piston rod 11 and the floating piston 7 are connected together, and the sealing ring 5 is sleeved on the outer end of the floating piston 7 to ensure good sealing of the upper and lower air chambers.

所述的上腔充气泵6A、下腔充气泵6B分别通过上腔气管10A、下腔气管10B与上腔气阀1、下腔气阀9相连。The upper cavity air pump 6A and the lower cavity air pump 6B are respectively connected to the upper cavity air valve 1 and the lower cavity air valve 9 through the upper cavity air tube 10A and the lower cavity air tube 10B.

所述的上腔压力传感器2A、下腔压力传感器2B分别布置在气缸3的上端面和下端面,对上气室4、下气室8内的气体压力进行实时监测,并将压力信号输送到控制器12中。The upper chamber pressure sensor 2A and the lower chamber pressure sensor 2B are respectively arranged on the upper end surface and the lower end surface of the cylinder 3 to monitor the gas pressure in the upper air chamber 4 and the lower air chamber 8 in real time, and send the pressure signal to In the controller 12.

所述的控制器12的输入端与两个压力传感器2A、2B的输出相连,输出端与充气泵6A、6B相连。The input end of the controller 12 is connected with the outputs of the two pressure sensors 2A, 2B, and the output end is connected with the air pumps 6A, 6B.

所述的控制器12根据两个压力传感器2A、2B测得的压力信号,控制充气泵6A、6B和气阀1、9;当需要的弹簧刚度大时,控制器12控制充气泵6A、6B向上下气室4、8充气;当需要的弹簧刚度小时,控制器12控制气阀1、9开启,使上下气室4、8放气。The controller 12 controls the air pumps 6A, 6B and air valves 1, 9 according to the pressure signals measured by the two pressure sensors 2A, 2B; when the required spring stiffness is large, the controller 12 controls the air pumps 6A, 6B to move upward The lower air chambers 4 and 8 are inflated; when the required spring stiffness is small, the controller 12 controls the opening of the air valves 1 and 9 to deflate the upper and lower air chambers 4 and 8.

如图2所示,为本实用新型的另一个实施例,即本实用新型也可以只包含一个充气泵6,同时对上下气室4、8充放入相同压力的气体,实现可调节大小的对称弹簧刚度;或者通过调节气阀1、9实现上下气室4、8压力不同,得到可调节大小的不对称弹簧刚度。As shown in Figure 2, it is another embodiment of the utility model, that is, the utility model can also only include an air pump 6, and simultaneously fill the upper and lower air chambers 4, 8 with gas of the same pressure to realize adjustable size Symmetrical spring stiffness; or by adjusting the air valves 1, 9 to achieve different pressures in the upper and lower air chambers 4, 8 to obtain adjustable asymmetric spring stiffness.

图3为本实用新型的刚度特性曲线,即F-s曲线,浮动活塞的受力F的反作用力即为提供给外界的弹性力,图中某点处曲线的斜率即为该点的弹簧刚度。Fig. 3 is the stiffness characteristic curve of the present utility model, i.e. the F-s curve, the reaction force of the force F of the floating piston is the elastic force provided to the outside world, and the slope of the curve at a certain point in the figure is the spring stiffness at this point.

本实用新型的工作过程为:The working process of the present utility model is:

1)在车辆起步之前,利用压力传感器2A、2B测得的上下气室4、8的压力信号,利用压力差即可得到车辆的负载;通过充气泵6A、6B分别从上腔气阀1和下腔气阀9向气室内充入一定量的气体,这样既可以根据负载状况调节车身高度,也可以控制气室的初始体积。1) Before the vehicle starts, the pressure signals of the upper and lower air chambers 4 and 8 measured by the pressure sensors 2A and 2B can be used to obtain the load of the vehicle by using the pressure difference; The lower chamber air valve 9 fills the air chamber with a certain amount of gas, so that the vehicle body height can be adjusted according to the load condition, and the initial volume of the air chamber can also be controlled.

2)在处于被动模式时,气阀1、9均关闭:2) When in passive mode, both air valves 1 and 9 are closed:

在外界作用力的作用下,当活塞杆11向上运动时,推动浮动活塞7向上运动,压缩上气室4,使上气室4的气体压力逐渐增大,活塞杆11向上移动的位移越大,上气室4产生的压力越大;Under the action of external force, when the piston rod 11 moves upward, the floating piston 7 is pushed upward, compressing the upper air chamber 4, so that the gas pressure in the upper air chamber 4 gradually increases, and the greater the upward displacement of the piston rod 11 , the greater the pressure generated by the upper air chamber 4;

当活塞杆11向下运动时,拉动浮动活塞7向下运动,压缩下气室8,使下气室8的压力逐渐增大,活塞杆11向下移动的位移越大,下气室8产生的压力越大;When the piston rod 11 moves downward, the floating piston 7 is pulled to move downward, compressing the lower air chamber 8, so that the pressure of the lower air chamber 8 gradually increases, and the greater the downward displacement of the piston rod 11, the lower air chamber 8 generates the greater the pressure;

这样就实现了弹簧刚度随着位移的增大而不断增大,如图3中的实线和虚线所示,为两种对称的弹簧刚度,其中实线为最小压力下,本实用新型能够提供的弹簧刚度;虚线为充气泵6A、6B提供最大充气压力时,本实用新型能够提供的弹簧刚度。In this way, the spring stiffness has been continuously increased with the increase of the displacement, as shown in the solid line and the dashed line in Fig. 3, which are two kinds of symmetrical spring stiffness, wherein the solid line is under the minimum pressure, the utility model can provide The spring stiffness; the dotted line is the spring stiffness that the utility model can provide when the air pumps 6A and 6B provide the maximum inflation pressure.

3)在处于半主动模式时,控制器12根据两个压力传感器2A、2B测得的压力信号,实时地控制充气泵6A、6B的供气压力和气阀1、9的开启与关闭;实时的对上下气室4、8充放气,实现并联空气弹簧的半主动控制,以提高汽车平顺性。3) When in the semi-active mode, the controller 12 controls the air supply pressure of the air pumps 6A, 6B and the opening and closing of the air valves 1, 9 in real time according to the pressure signals measured by the two pressure sensors 2A, 2B; real-time Inflate and deflate the upper and lower air chambers 4 and 8 to realize the semi-active control of parallel air springs to improve the ride comfort of the vehicle.

值得注意的是,本实用新型中的弹簧刚度可以是对称的,也可以是非对称的,这可以通过充气泵6A、6B进行调节。通过调节上气室4和下气室8的充气压力使得该空气弹簧的刚度可在图3中实线和虚线之间形成的区域内根据需要进行任意调节。It should be noted that the stiffness of the spring in the present invention can be symmetrical or asymmetrical, which can be adjusted by the air pumps 6A, 6B. By adjusting the inflation pressure of the upper air chamber 4 and the lower air chamber 8, the stiffness of the air spring can be adjusted as required in the area formed between the solid line and the dashed line in FIG. 3 .

Claims (2)

1. one and half actives pneumatic spring in parallel, comprise cylinder (3), upper gas chamber (4), seal ring (5), floating piston (7), lower chamber (8), epicoele tracheae (10A), cavity of resorption tracheae (10B) and piston rod (11), described floating piston (7) is divided into upper gas chamber (4) and (8) two parts of lower chamber the inner space of cylinder (3), piston rod (11) and floating piston (7) are connected, and seal ring (5) is enclosed within the outer end of floating piston (7); It is characterized in that:
Also comprise epicoele air valve (1), upper cavity pressure sensor (2A), cavity of resorption pressure transducer (2B), epicoele gas-filled pump (6A), cavity of resorption gas-filled pump (6B), cavity of resorption air valve (9) and controller (12);
Described epicoele gas-filled pump (6A), cavity of resorption gas-filled pump (6B) are connected with epicoele air valve (1), cavity of resorption air valve (9) by epicoele tracheae (10A), cavity of resorption tracheae (10B) respectively;
Described epicoele air valve (1) and upper cavity pressure sensor (2A) are arranged on the upper end of upper gas chamber (4), and cavity of resorption pressure transducer (2B) and cavity of resorption air valve (9) are arranged on the bottom of lower chamber (8);
The input end of described controller (12) is connected with the output of two pressure transducers (2A, 2B), and output terminal is connected with gas-filled pump (6A, 6B).
2. initiatively pneumatic spring in parallel of one according to claim 1 half, is characterized in that:
Only comprise a gas-filled pump (6), be connected with epicoele air valve (1), cavity of resorption air valve (9) by epicoele tracheae (10A), cavity of resorption tracheae (10B).
CN201320892254.XU 2013-12-31 2013-12-31 Semi-active parallel air spring Expired - Fee Related CN203627631U (en)

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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103644235A (en) * 2013-12-31 2014-03-19 吉林大学 Semi-active parallel air spring
CN105033634A (en) * 2015-07-30 2015-11-11 苏州宏瑞达新能源装备有限公司 Loss prevention frame pressing machine with corner pressing assemblies
CN105065544A (en) * 2015-07-17 2015-11-18 合肥工业大学 Dual air spring with shared additional air chamber and control method and application of dual air spring
CN105673759A (en) * 2016-04-14 2016-06-15 吉林大学 Air spring capable of adjusting height and rigidity independently and control methods thereof
CN111350899A (en) * 2020-01-20 2020-06-30 杭州萧山金鹰交通设施有限公司 Pipeline shock absorber support
CN116075653A (en) * 2022-11-11 2023-05-05 山东美晨工业集团有限公司 Rigidity-adjustable air spring and vehicle air suspension system

Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103644235A (en) * 2013-12-31 2014-03-19 吉林大学 Semi-active parallel air spring
CN105065544A (en) * 2015-07-17 2015-11-18 合肥工业大学 Dual air spring with shared additional air chamber and control method and application of dual air spring
CN105033634A (en) * 2015-07-30 2015-11-11 苏州宏瑞达新能源装备有限公司 Loss prevention frame pressing machine with corner pressing assemblies
CN105673759A (en) * 2016-04-14 2016-06-15 吉林大学 Air spring capable of adjusting height and rigidity independently and control methods thereof
CN111350899A (en) * 2020-01-20 2020-06-30 杭州萧山金鹰交通设施有限公司 Pipeline shock absorber support
CN111350899B (en) * 2020-01-20 2021-07-30 杭州萧山金鹰交通设施有限公司 Pipeline shock absorber support
CN116075653A (en) * 2022-11-11 2023-05-05 山东美晨工业集团有限公司 Rigidity-adjustable air spring and vehicle air suspension system
CN116075653B (en) * 2022-11-11 2024-02-27 山东美晨工业集团有限公司 Rigidity-adjustable air spring and vehicle air suspension system
WO2024098377A1 (en) * 2022-11-11 2024-05-16 山东美晨工业集团有限公司 Stiffness-adjustable air spring and vehicle air suspension system

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