A parameter optimization design method for tuned inertia capacitance eddy current damper

Abstract

The present invention discloses a parameter optimization design method for a tuned inertia capacitor eddy current damper, which relates to the technical field of damper design and includes the following steps: S01. Determining structural dynamic parameters; S02. Calculating a target effective damping ratio of the structure based on the structural dynamic parameters; S03. Calculating the inertia value, spring stiffness, and linear damping ratio based on the structural dynamic parameters and the target effective damping ratio; S04. Assuming a critical speed; S05. Calculating the peak damping force based on the assumed critical speed, structural dynamic parameters, and linear damping ratio; S06. Determining the conductor material and thickness of the tuned inertia capacitor eddy current damper based on the critical speed, and determining the specifications and quantity of the permanent magnets based on the peak damping force. The present invention establishes, for the first time, a parameter optimization formula for a tuned inertia capacitor eddy current damper, equating the effect of the tuned inertia capacitor eddy current damper to the effective damping ratio of the structure, making it easier for engineering designers to apply.

Description

Technical Field

[0001] The invention belongs to the technical field of damper design, and in particular relates to a parameter optimization design method for a tuned inertia capacitor eddy current damper. Background Art

[0002] A damper is a device that provides resistance and dissipates kinetic energy. It mainly includes three types: liquid dampers, gas dampers, and electromagnetic dampers. Taipei 101 has the world's first and largest exposed mass tuned damper. A tuned mass damper is a device added to the top of a house to increase the damping of the house, thereby suppressing wind-induced vibrations and resisting high-level airflow. We know that external forces can cause objects to vibrate. If the vibration frequency is comparable to the natural frequency of the object, it will cause resonance and endanger the safety of the structure. The tuned mass damper is a huge mass body designed according to the natural frequency of the structure. When wind loads come, it generates an inertial force in the opposite direction of the structural vibration, which acts on the structure to offset the vibration.

[0003] However, many tuned shock absorbers currently perform parameter optimization design while ignoring structural damping, such as the tuned mass damper (TMD) and the frequency-modulated liquid damper (TLD). At the same time, many studies use the concept of damping ratio to optimize the parameters of shock absorbers or dampers. The damping ratio is equal to the structural response after the shock absorber is set / the structural response before the shock absorber is set. The concept of damping ratio is not conducive to engineering applications.

[0004] The inventor recently submitted an invention patent, "A rack-and-pinion inertial capacitor eddy current damper," with patent number 202211136255.1. For this invention, the inventor proposed a parameter optimization design method for a tuned inertial capacitor eddy current damper, aiming to optimize its parameters and facilitate the structural selection of the rack-and-pinion inertial capacitor eddy current damper and its engineering application. Summary of the Invention

[0005] In view of this, the present invention provides a parameter optimization design method for a tuned inertia capacitor eddy current damper. The present invention establishes a parameter optimization formula for a tuned inertia capacitor eddy current damper for the first time, and equates the effect of the tuned inertia capacitor eddy current damper to the effective damping ratio of the structure, which is convenient for engineering designers to apply.

[0006] In order to achieve the above object, the present invention adopts the following technical solution: a parameter optimization design method of a tuned inertia capacitance eddy current damper, comprising the following steps:

[0007] S01. Determine structural dynamic parameters;

[0008] S02. Calculate the target effective damping ratio of the structure based on the structural dynamic parameters;

[0009] S03. Calculate the inertia value, spring stiffness, and linear damping ratio based on the structural dynamic parameters and the target effective damping ratio;

[0010] S04. Assumed critical speed;

[0011] S05. Calculate the peak damping force based on the assumed critical speed, structural dynamic parameters, and linear damping ratio;

[0012] S06. Determine the conductor material and thickness of the tuned inertia eddy current damper based on the critical speed, and determine the specifications and quantity of the permanent magnets based on the peak damping force.

[0013] Furthermore, the structural dynamic parameters include the structural mass m s , natural frequency ω s , inherent damping ratio ξ s , and the structural target RMS response σ T .

[0014] Furthermore, the effective damping ratio ξ T The calculation formula is:

[0015]

[0016] where S0 is the uniform power spectral density of the white noise excitation.

[0017] Furthermore, the inertia value m d The calculation formula is:

[0018]

[0019] Among them, m d is the inertia value of the tuned inertia eddy current damper; μ = m d / m s It can be understood as the mass ratio, that is, the inertia value of the tuned inertia eddy current damper / structure mass; γ = ω d / ω s is the frequency ratio, that is, the frequency of the tuned inertial capacitance eddy current damper / the natural frequency of the structure; the frequency of the tuned inertial capacitance eddy current damper ξ d is the linear damping ratio of the tuned inertia eddy current damper;

[0020] Spring stiffness k d With linear damping ratio ξ d The calculation formulas are:

[0021]

[0022] Furthermore, the peak damping force F max The calculation formula is:

[0023]

[0024] Among them, v cr is the assumed critical speed.

[0025] Furthermore, under white noise excitation, the effective damping ratio ξ of the structure is not less than the target effective damping ratio ξ T , if it is not satisfied, then increase the critical speed v cr , proceed to the next step after satisfaction.

[0026] Furthermore, under earthquake action, the structural root mean square response σ should not be greater than the target structural root mean square response σ T , if it is not satisfied, increase the inertia value.

[0027] The beneficial effects of the present invention are:

[0028] The present invention establishes the parameter optimization formula of the tuned inertia capacitor eddy current damper for the first time, and equates the function of the tuned inertia capacitor eddy current damper to the effective damping ratio of the structure, which is convenient for engineering designers to apply. s In this case, the parameters of the tuned inertia capacitor eddy current damper can still be optimized. Analytical formulas are used in the parameter optimization design process, without the need for tedious iterative or numerical solutions, which facilitates the selection and design of the tuned inertia capacitor eddy current damper. BRIEF DESCRIPTION OF THE DRAWINGS

[0029] Figure 1 It is a schematic diagram of the process of the present invention. DETAILED DESCRIPTION

[0030] The following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of the present invention.

[0031] Example

[0032] The present invention provides a parameter optimization design method for a tuned inertia capacitor eddy current damper, comprising the following steps:

[0033] S01. Determine the structural dynamic parameters, including the structural mass m s , natural frequency ω s , inherent damping ratio ξ s , and the structural target RMS response σ T ;

[0034] S02. Calculate the target effective damping ratio ξ of the structure based on the structural dynamic parametersT ,

[0035]

[0036] Where S0 is the uniform power spectral density of white noise excitation;

[0037] S03. Calculate the inertia value, spring stiffness, and linear damping ratio based on the structural dynamic parameters and the target effective damping ratio.

[0038] Inertia value m d The calculation formula is:

[0039]

[0040] Among them, m d is the inertia value of the tuned inertia eddy current damper; μ = m d / m s It can be understood as the mass ratio, that is, the inertia value of the tuned inertia eddy current damper / structure mass; γ = ω d / ω s is the frequency ratio, that is, the frequency of the tuned inertial capacitance eddy current damper / the natural frequency of the structure; the frequency of the tuned inertial capacitance eddy current damper ξ d is the linear damping ratio of the tuned inertia eddy current damper;

[0041] Spring stiffness k d With linear damping ratio ξ d The calculation formulas are:

[0042]

[0043] S04. Assuming critical speed v cr ;

[0044] S05. Calculate the peak damping force F based on the assumed critical speed, structural dynamic parameters, and linear damping ratio max

[0045]

[0046] Among them, β has no specific physical meaning, it is just an algebraic expression for convenient calculation. The spring stiffness k of the tuned inertia eddy current damper d 、habitual d , critical speed v cr , peak damping force F max After confirmation, start to verify the shock absorption effect;

[0047] S07. According to the critical speed v cr Determine the conductor material and thickness of the tuned inertia eddy current damper according to the peak damping force F maxDetermine the specifications and quantity of permanent magnets.

[0048] Among them, under white noise excitation, the effective damping ratio ξ of the structure is not less than the target effective damping ratio ξ T , if it is not satisfied, then increase the critical speed v cr , proceed to the next step after satisfaction.

[0049] Among them, under the action of earthquake, the root mean square response of the structure σ is not greater than the target root mean square response of the structure σ T , if it is not satisfied, increase the inertia value.

[0050] The above description is merely a preferred embodiment of the present invention and does not limit the technical scope of the present invention. Therefore, any minor modifications, equivalent changes and modifications made to the above embodiments based on the technical essence of the present invention are still within the scope of the technical solution of the present invention.

Claims

1. A parameter optimization design method for a tuned inertia capacitor eddy current damper, characterized in that: The following steps are involved: S01. Determine the structural dynamic parameters; S02. Calculate the target effective damping ratio of the structure based on the structural dynamic parameters; S03. Calculate the inertia value, spring stiffness, and linear damping ratio based on the structural dynamic parameters and the target effective damping ratio; S04. Assumed critical speed; S05. Calculate the peak damping force based on the assumed critical speed, structural dynamic parameters, and linear damping ratio; S06. Determine the conductor material and thickness of the tuned inertia eddy current damper based on the critical speed, and determine the specifications and quantity of the permanent magnets based on the peak damping force; The structural dynamic parameters include the structural mass m s , natural frequency ω s , inherent damping ratio ξ s , and the structural target RMS response σ T ; Target effective damping ratio ξ T The calculation formula is: Where S0 is the uniform power spectral density of white noise excitation; Inertia value m d The calculation formula is: Among them, m d is the inertia value of the tuned inertia eddy current damper; μ = m d / m s is the mass ratio, i.e. the inertia value of the tuned inertia eddy current damper / the structural mass; γ=ω d / ω s is the frequency ratio, i.e. the frequency of the tuned inertial capacitance eddy current damper / the natural frequency of the structure; the frequency of the tuned inertial capacitance eddy current damper ξ d is the linear damping ratio of the tuned inertia eddy current damper; Spring stiffness k d With linear damping ratio ξ d The calculation formulas are:

2. The parameter optimization design method of a tuned inertia capacitor eddy current damper according to claim 1, characterized in that: Peak damping force F max The calculation formula is: Among them, v cr is the assumed critical speed.

3. The parameter optimization design method of a tuned inertia eddy current damper according to claim 2, characterized in that: Under white noise excitation, the effective damping ratio ξ of the structure is not less than the target effective damping ratio ξ T , if it is not satisfied, then increase the critical speed v cr , proceed to the next step after satisfaction.

4. The parameter optimization design method of a tuned inertia capacitor eddy current damper according to claim 1, characterized in that: Under earthquake action, the root mean square response of the structure σ should not be greater than the target root mean square response of the structure σ T , if it is not satisfied, increase the inertia value.

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