Parameter optimization method for human-induced vibration inerter vibration reduction system of wood-bamboo structure floor system and building structure

Abstract

The invention relates to a wood-bamboo structure floor system human-induced vibration inerter vibration reduction system parameter optimization method and a building structure. The parameter optimization method comprises the steps that S1, a motion control model after an inerter vibration reduction system and a wood-bamboo structure floor system are coupled is established; s2, modal analysis is conducted on the wood-bamboo structure floor system, and physical parameters and modal parameters of the wood-bamboo structure floor system are obtained; s3, determining the value ranges of the mass ratio and the inerter rate; s4, calculating the apparent mass of an inerter unit and the mass of a solid mass unit in the inerter vibration reduction system; s5, the optimal frequency ratio and the optimal damping ratio of the inerter vibration reduction system are calculated; s6, the damping coefficient and rigidity of the inerter vibration reduction system are calculated. According to the inerter vibration reduction system designed through the method, through the inertia mass amplification effect, the contradiction that a huge mass block needs to be added for controlling vibration of a light wood-bamboo structure floor system through traditional TMD is fundamentally overcome through the combination of extremely small solid mass and apparent mass.

Description

Technical Field

[0001] This invention relates to the field of vibration control and design calculation of building structures, and in particular to a method for optimizing the parameters of a human-induced vibration inertial capacitance reduction system for a wood-bamboo structure floor and the building structure thereof. Background Technology

[0002] Wood-bamboo structural floor systems can be mainly classified into the following categories based on material combinations and construction methods: Wood structural floor systems mainly include solid wood joist systems and engineered wood product systems. The former uses solid wood square timber as the main load-bearing joists, while the latter uses engineered wood products such as cross-laminated timber. Compared with solid wood joist systems, wood-bamboo structural floor systems have the advantages of dimensional stability, high strength, and large span. Bamboo structural floor systems mainly include raw bamboo lattice systems and engineered bamboo product systems. The former combines raw bamboo members into spatial trusses or lattice beams through bolts, binding, etc., while the latter uses standardized materials such as reconstituted bamboo to make beams and slabs. Bamboo structures feature uniform specifications, excellent mechanical properties, and improved durability, making the design and construction of bamboo floors closer to the level of modern wood structures. However, in terms of dynamic response characteristics, wood-bamboo structural floor systems are lightweight and have low stiffness. Their fundamental frequency is often in the sensitive range of human-induced vibrations, making them more prone to resonance with the main harmonics of pedestrian loads compared to concrete floors, leading to comfort issues. Tuned mass dampers (TMDs) are an effective means of improving floor vibration comfort, but their effectiveness is directly related to the size of the added mass block, which usually needs to reach 1%-5% of the floor modal mass, which contradicts the lightweight advantage of wood structures.

[0003] An inertial-capacitive element is a device that generates a force proportional to the relative acceleration between its two ends. Its core value lies in the "inertial amplification" effect, that is, achieving a large "apparent mass" with a small physical mass. Combining inertial-capacitive elements with solid mass elements, spring elements, and damping elements to form an inertial-capacitive vibration reduction system can significantly improve the vibration reduction efficiency of wood-bamboo structure floor slabs without significantly increasing weight. However, the introduction of the inertial-capacitive vibration reduction system complicates the dynamic system, and its optimal parameters cannot be directly obtained through classical design theory. Existing research mostly uses complex numerical optimization algorithms for direct search, which, although accurate, involves a large amount of computation, lacks physical intuitiveness, and is difficult to quickly provide an initial optimal solution for engineering design. Therefore, there is an urgent need for a dedicated parameter design method that combines theoretical rigor, computational efficiency, and engineering practicality. Summary of the Invention

[0004] In view of the above-mentioned defects and deficiencies in the existing technology, the present invention aims to provide a parameter optimization method and building structure for a human-induced vibration inertial capacitance damping system for wood and bamboo structure floor slabs. This parameter optimization method can quickly and accurately determine the optimal parameters of the control system, providing a direct and reliable theoretical basis and calculation tool for the engineering design of lightweight, high-performance inertial capacitance damping systems.

[0005] The objective of this invention can be achieved through the following technical solutions:

[0006] A method for optimizing the parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab is characterized in that the system comprises an inertial capacitance unit, a solid mass unit, a spring unit, and a damping unit; the spring unit and the damping unit are connected in parallel, and then connected in series with the solid mass unit and the inertial capacitance unit; the method for optimizing the parameters of the human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab includes:

[0007] S1: Establish a motion control model after coupling the inertial capacitance vibration reduction system with the wood-bamboo structure floor slab;

[0008] S2: Perform modal analysis on the wood-bamboo structure floor slab to obtain its physical parameters and modal parameters;

[0009] S3: Determine the range of values ​​for mass ratio and inertia rate;

[0010] S4: Calculate the apparent mass of the inertial capacitance unit and the mass of the solid mass unit in the inertial capacitance damping system;

[0011] S5: Calculate the optimal frequency ratio and optimal damping ratio of the inertial capacitance damping system;

[0012] S6: Calculate the damping coefficient and stiffness of the inertial capacitance damping system.

[0013] A further improvement of the present invention is that, in step S1, the expression for the motion control model of the inertial capacitance vibration reduction system coupled with the wood-bamboo structure floor slab is:

[0014] ;

[0015] In the formula: and These represent the apparent mass and mass amplification factor of the inertial capacitance element in the inertial capacitance damping system, respectively. The mass of a solid mass unit. and These are the damping coefficient and stiffness of the inertial capacitance damping system, respectively. and These represent the displacements of the wooden floor slab and the inertial capacitance damping system relative to the ground, respectively. , , These are the concentrated mass, stiffness, and damping coefficient of the wood-bamboo structure floor slab. This is the time history of ground motion acceleration.

[0016] A further improvement of the present invention is that: in step S2, the physical information and modal information of the wood-bamboo structure floor slab include: the concentrated mass of the wood-bamboo structure floor slab. Stiffness and damping coefficient and its first mode shape participating mass First-order natural frequency .

[0017] A further improvement of the present invention is that, in step S2, the physical information and modal information of the wood-bamboo structure floor are obtained in ABAQUS software through modal analysis of the finite element model.

[0018] A further improvement of the present invention is that, in step S3, the mass ratio The value range is 1% to 5%, and it must meet the following requirements. , The constraint value of the original structure on the additional mass based on the upper limit of the bearing capacity; inertia ratio. The inertial capacitance ratio is the ratio of the apparent mass to the total added mass of the inertial capacitance element, and is determined based on the project cost. Perform initial value selection.

[0019] A further improvement of the present invention is that step S4 specifically includes:

[0020] Solve the following system of equations:

[0021]

[0022] Obtain the apparent mass of the inertial capacitance element in the inertial capacitance damping system. and the mass of the solid mass unit ;in: The first mode of vibration of the wood-bamboo structure floor slab is involved in the mass.

[0023] The upper limit of the added mass is verified to determine the apparent mass. and the mass of solid mass units Does it meet the requirements? If this is not satisfied, then increase the inertia ratio. Then, the above system of equations is solved again until the upper limit of the additional mass is met.

[0024] A further improvement of the present invention lies in the mass amplification factor of the inertial capacitance unit in the inertial capacitance damping system. The expression for this mechanism is determined by the physical parameters of the translational and rotational conversion mechanism within the inertial-capacitive unit:

[0025]

[0026] in: The moment of inertia of the inertial unit. , These are the angular velocity and linear velocity of the inertial duct element, respectively.

[0027] A further improvement of the present invention is that step S5 specifically includes:

[0028] Calculate the optimal frequency ratio of the inertial capacitance damping system The expression used is:

[0029]

[0030] Calculate the optimal damping ratio The expression used is:

[0031]

[0032] in, This refers to the mass ratio.

[0033] A further improvement of the present invention is that the calculation expressions for the damping coefficient and stiffness of the inertial capacitance damping system in step S6 are as follows:

[0034]

[0035]

[0036] in: The damping coefficient is... For stiffness.

[0037] The present invention also provides a building structure comprising a wood-bamboo structure floor slab, wherein the wood-bamboo structure floor slab is equipped with an inertial-capacitance vibration reduction system, and the parameters of the inertial-capacitance vibration reduction system are optimized using the above-mentioned parameter optimization method for the artificial vibration inertial-capacitance vibration reduction system of the wood-bamboo structure floor slab to obtain the optimal design parameters.

[0038] Compared with existing technologies, the present invention has the following advantages: The inertial capacitance vibration reduction system designed using the method of the present invention can fundamentally overcome the contradiction of traditional TMD systems, which require the addition of huge mass blocks to control the vibration of lightweight wood and bamboo structure floors, through the inertial mass amplification effect and a combination of extremely small solid mass and apparent mass. This lightweight characteristic matches the characteristics of wood structures—light weight and limited load-bearing capacity—avoiding the need for additional reinforcement of the wood and bamboo structure floors to support the vibration reduction device.

[0039] The analytical solution of parameters derived by the method of the present invention is theoretically the optimal solution in a physical sense, ensuring the best performance of the inertial capacitance damping system.

[0040] The overall design process of this invention is based on explicit analytical formulas, has a fast calculation speed, does not rely on parameterized optimization algorithms, does not require complex iterations and a large number of finite element calculations, greatly improves design efficiency, and the design results are reliable and reproducible. Attached Figure Description

[0041] Figure 1 This is a flowchart of the parameter optimization method for the artificial vibration inertial capacitance damping system of the wood-bamboo structure floor slab of the present invention;

[0042] Figure 2 A schematic diagram of the inertial capacitance vibration reduction system targeted by the parameter optimization method for the human-induced vibration inertial capacitance vibration reduction system of the wood and bamboo structure floor;

[0043] The attached figures are labeled as follows:

[0044] Ground, 1; Inertial volume unit, 2; Solid mass unit, 3; Spring unit, 4; Damping unit, 5; Wood and bamboo structure floor, 6. Detailed Implementation

[0045] The present invention will now be described in detail with reference to the accompanying drawings and specific embodiments. These embodiments are based on the technical solution of the present invention and provide detailed implementation methods and specific operating procedures. However, the scope of protection of the present invention is not limited to the following embodiments.

[0046] like Figure 1 , Figure 2 As shown, an embodiment of the present invention provides a method for optimizing the parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structural floor slab. This embodiment uses a glued laminated timber floor slab in a shopping mall as an example to illustrate this parameter optimization method. The glued laminated timber floor slab has a planar dimension of 6m × 6m and a thickness of 190mm. The glued laminated timber material is imported European spruce with a strength grade of GL 24h. The total self-weight and dead load of the wood floor slab is 6603kg, and the equivalent damping ratio is 2%. The wood floor slab is a one-way slab, that is, it is supported only by opposite sides and bends in a single direction.

[0047] The objective of this embodiment is to control the vertical vibration of the wooden floor slab caused by pedestrian movement using an inertial capacitance vibration reduction system. The parameter optimization method specifically includes the following steps:

[0048] S1: Establish a motion control model for the coupling of the inertial compressibility vibration reduction system and the wood-bamboo structure floor slab:

[0049]

[0050] In the formula: and These represent the apparent mass and mass amplification factor of the inertial capacitance element in the inertial capacitance damping system, respectively. The mass of a solid mass unit. and These are the damping coefficient and stiffness of the inertial capacitance damping system, respectively. and These represent the displacements of the wooden floor slab and the inertial capacitance damping system relative to the ground, respectively. , , These are the concentrated mass, stiffness, and damping coefficient of the wood-bamboo structure floor slab. The time history of ground motion acceleration;

[0051] S2: Perform modal analysis on the wood-bamboo structure floor slab to obtain its physical and modal parameters; in this embodiment, modal analysis of the wood floor slab is performed using ABAQUS software to calculate the concentrated mass of the wood floor slab. Stiffness and damping coefficient and its first mode shape participating mass First-order natural frequency .

[0052] S3: Determine the range of values ​​for mass ratio and inertia rate: In this embodiment, the mass ratio... Inertia rate The calculations show that the additional mass is subject to the constraints imposed by the original structure based on the upper limit of the bearing capacity.

[0053] Step S4: The motion conversion mechanism of the inner edge of the inertial volume uses a ball screw. The amplification factor of the inertial volume unit can be obtained from the ball screw drawing. Further calculation of the apparent mass of the inertial capacitance element in the inertial capacitance damping system. and the mass of solid mass units By solving the following system of equations:

[0054]

[0055] Solving , Calculations show that the upper limit of the additional mass is met.

[0056] Step S5: Applying fixed-point theory, derive the following expression based on the motion control model, and calculate the optimal frequency ratio of the inertial capacitive damping system based on the following expression. and optimal damping ratio :

[0057]

[0058]

[0059] Step S6: Substitute the calculation results from the previous steps into the following formula to calculate the damping coefficient of the inertial capacitance damping system. and stiffness :

[0060]

[0061]

[0062] Step S7: Verify the peak acceleration of the wooden floor slab under human-induced vibration after inertial capacitance vibration reduction. The calculation is performed using synchronous walking vibration load in ABAQUS finite element analysis software. The synchronous walking vibration load is uniformly distributed, and the vertical vibration value generated by a single pedestrian is taken as 280N. Time history analysis is used, with a load excitation input duration of 20s and an integration time step of 0.01s. The time history analysis yields a peak acceleration of 0.023m / s² for the wooden floor slab under the control of the inertial capacitance vibration reduction system. 2 The peak acceleration is less than the 0.15 m / s² limit for the comfort evaluation index of shopping mall floors in the "Technical Standard for Vibration Comfort of Building Floor Structures" (JGJ / T441-2019). 2 .

[0063] The preferred embodiments of the present invention have been described in detail above. It should be understood that those skilled in the art can make numerous modifications and variations based on the concept of the present invention without creative effort. Therefore, all technical solutions that can be obtained by those skilled in the art based on the concept of the present invention through logical analysis, reasoning, or limited experimentation on the basis of existing technology should be within the scope of protection defined by the claims.

Claims

1. A method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab, characterized in that, The human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor includes an inertial capacitance unit, a solid mass unit, a spring unit, and a damping unit; the spring unit and the damping unit are connected in parallel, and then connected in series with the solid mass unit and the inertial capacitance unit; the parameter optimization method for the human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor includes: S1: Establish a motion control model after coupling the inertial capacitance vibration reduction system with the wood-bamboo structure floor slab; S2: Perform modal analysis on the wood-bamboo structure floor slab to obtain its physical parameters and modal parameters; S3: Determine the range of values ​​for mass ratio and inertia rate; S4: Calculate the apparent mass of the inertial capacitance unit and the mass of the solid mass unit in the inertial capacitance damping system; S5: Calculate the optimal frequency ratio and optimal damping ratio of the inertial capacitance damping system; S6: Calculate the damping coefficient and stiffness of the inertial capacitance damping system.

2. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 1, characterized in that: In step S1, the expression for the motion control model of the coupled inertial capacitance vibration reduction system and the wood-bamboo structure floor slab is as follows: ； In the formula: and These represent the apparent mass and mass amplification factor of the inertial capacitance element in the inertial capacitance damping system, respectively. The mass of a solid mass unit. and These are the damping coefficient and stiffness of the inertial capacitance damping system, respectively. and These represent the displacements of the wooden floor slab and the inertial capacitance damping system relative to the ground, respectively. , , These are the concentrated mass, stiffness, and damping coefficient of the wood-bamboo structure floor slab. This is the time history of ground motion acceleration.

3. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 1, characterized in that: In step S2, the physical and modal information of the wood-bamboo structure floor slab includes: the concentrated mass of the wood-bamboo structure floor slab. Stiffness and damping coefficient and its first mode shape participating mass First-order natural frequency .

4. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 3, characterized in that: In step S2, the physical and modal information of the wood-bamboo structure floor slab is obtained through modal analysis of the finite element model in ABAQUS software.

5. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 2, characterized in that: In step S3, the mass ratio The value range is 1% to 5%, and it must meet the following requirements. , The constraint value of the original structure on the additional mass based on the upper limit of the bearing capacity; inertia ratio. The inertial capacitance ratio is the ratio of the apparent mass to the total added mass of the inertial capacitance element, and is determined based on the project cost. Perform initial value selection.

6. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 5, characterized in that: Step S4 specifically includes: Solve the following system of equations: ； Obtain the apparent mass of the inertial capacitance element in the inertial capacitance damping system. and the mass of the solid mass unit ;in: The first mode of vibration of the wood-bamboo structure floor slab is involved in the mass. The upper limit of the added mass is verified to determine the apparent mass. and the mass of solid mass units Does it meet the requirements? If this is not satisfied, then increase the inertia ratio. Then, the above system of equations is solved again until the upper limit of the additional mass is met.

7. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 6, characterized in that: Mass amplification factor of inertial capacitance element in inertial capacitance damping system The expression for this mechanism is determined by the physical parameters of the translational and rotational conversion mechanism within the inertial-capacitive unit: ； in: The moment of inertia of the inertial unit. , These are the angular velocity and linear velocity of the inertial duct element, respectively.

8. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 6, characterized in that: Step S5 specifically includes: Calculate the optimal frequency ratio of the inertial capacitance damping system The expression used is: ； Calculate the optimal damping ratio The expression used is: ； in, This refers to the mass ratio.

9. The method for optimizing parameters of a human-induced vibration inertial capacitance damping system for a wood-bamboo structure floor slab according to claim 7, characterized in that: The calculation expressions for the damping coefficient and stiffness of the inertial capacitance damping system in step S6 are as follows: ； ； in: The damping coefficient is... For stiffness.

10. A building structure comprising a wood-bamboo structural floor slab, characterized in that, The wood-bamboo structure floor is equipped with an inertial-capacitance vibration reduction system, and the parameters of the inertial-capacitance vibration reduction system are optimized using the parameter optimization method for artificial vibration inertial-capacitance vibration reduction system of wood-bamboo structure floor as described in any one of claims 1 to 9.

Images