CN110866333B - Optimal design method of grid structure arranged in rectangular pipeline - Google Patents

Optimal design method of grid structure arranged in rectangular pipeline Download PDF

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CN110866333B
CN110866333B CN201911054660.7A CN201911054660A CN110866333B CN 110866333 B CN110866333 B CN 110866333B CN 201911054660 A CN201911054660 A CN 201911054660A CN 110866333 B CN110866333 B CN 110866333B
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sound wave
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CN110866333A (en
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方挺
漆石球
杨焕弟
毛义军
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Guangdong Kaili Hvac Co ltd
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Abstract

The invention discloses an optimal design method of a grid structure arranged in a rectangular pipeline, which takes maximization of sound transmission loss as an optimization target according to the characteristics of incident sound waves in the pipeline, simulates and calculates the optimal value of the design parameters of the grid structure in the rectangular pipeline, provides an accurate data basis for design optimization of the grid structure in the rectangular pipeline for designers, and greatly improves the design accuracy.

Description

Optimal design method of grid structure arranged in rectangular pipeline
Technical Field
The invention relates to the technical field of pipeline system design and manufacture, in particular to an optimal design method of a grid structure arranged in a rectangular pipeline.
Background
Piping systems are widely used in various media and energy transfer processes, such as building ventilation systems, where air and noise are transmitted and transported through the piping system, typically using air supply ducts having rectangular cross sections. The "noise pollution" caused by the propagation of noise in the pipe system can affect the comfort of the working and living environments in the building and even the physical and psychological health of the personnel in the building.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide the optimal design method of the grid structure arranged in the rectangular pipeline, which can effectively inhibit the transmission of partial noise energy in the pipeline and has good noise reduction effect.
In order to achieve the above purpose, the present invention provides the following solutions: an optimal design method of a grid structure arranged in a rectangular pipeline, wherein the grid structure comprises longitudinal partition plates which are arranged at intervals along the width direction of the rectangular pipeline and transverse partition plates which are arranged at intervals along the height direction of the rectangular pipeline, and the optimal design method comprises the following steps:
s1, a designer sets constraint parameters to a system, and the step S2 is carried out;
s2, establishing constraint conditions based on the constraint parameters set in the step S1, selecting test values of design parameters required to be optimized for the grid structure by the system on the premise of meeting the constraint conditions, establishing a three-dimensional geometric and data simulation model of the grid structure, and entering the step S3;
s3, based on the three-dimensional geometric and data simulation model of the grid structure established in the step S2, simulating the incident sound wave by the system, describing the space-time distribution characteristics of any incident sound wave in the frequency-wave number domain by using a modal decomposition method, and entering the step S4;
s4, describing the space-time distribution characteristics of the reflected sound wave and the transmitted sound wave in the grid structure by using a modal decomposition method based on the step S3, describing the space-time distribution characteristics of the reflected sound wave at the upstream of the grid structure and the transmitted sound wave at the downstream of the grid structure by using the modal decomposition method, and entering the step S5;
s5, the system respectively utilizes the conditions of continuous pressure distribution and conservation of mass flow on the sections at two ends of the grid structure to construct an equation set to solve and determine the corresponding amplitude of the reflected sound wave and the transmitted sound wave in the grid structure in the step S4 under each modal component, and the step S6 is entered;
s6, calculating the transmission loss of the incident sound wave according to the space-time distribution characteristics of the reflected sound wave at the upstream of the grid structure and the transmitted sound wave at the downstream of the grid structure in the step S4, outputting test values of all design parameters at the moment as a group of test samples, and entering the step S7;
s7, judging whether all test samples meeting the constraint conditions are acquired, if not, returning to the step S2, and if so, entering the step S8;
s8, the system establishes a sample database according to all acquired test samples, then adopts an optimized mathematical programming method for the established sample database, and determines an optimal test sample by taking the maximum value of the sound transmission loss as a target, wherein test values of all design parameters corresponding to the optimal test sample are optimal parameter values, and all the optimal parameter values are output.
Further, the constraint parameters are width parameters and height parameters of the rectangular pipeline section.
Further, the design parameters required to be optimized for the grid structure are thickness parameters, number parameters, length parameters of each separator and spacing parameters between adjacent separators.
Further, the constraint condition in the step S2 is the formula: :
Figure GDA0002328583750000021
wherein W and H are respectively the width parameter and the height parameter of the rectangular pipeline, M is the number parameter of the longitudinal partition plates, N is the number parameter of the transverse partition plates, and W i Representing the thickness parameter of the i-th longitudinal partition, W i A pitch parameter, h, representing the ith lateral separation in the grid structure j Represents the thickness parameter of the j-th transverse separator, H j A pitch parameter representing the jth longitudinal spacing in the grid structure.
Further, the mode decomposition method in step S3 and step S4 is a fourier mode decomposition method.
Further, the sum of the speeds of the reflected sound wave and the transmitted sound wave in the grating structure, the reflected sound wave at the upstream of the grating structure, and the transmitted sound wave and the incident sound wave at the downstream of the grating structure in the step S4 satisfies the no-penetration boundary condition on the wall surface of the rectangular pipe.
Compared with the prior art, the invention has the beneficial effects that according to the characteristics of the incident sound wave in the pipeline, the maximum sound transmission loss is taken as an optimization target, the optimal value of the design parameter of the grid structure in the rectangular pipeline is simulated and calculated, an accurate data basis is provided for the design optimization of the grid structure in the rectangular pipeline by a designer, and the design accuracy is greatly improved.
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FIG. 1 is a flow chart of the present invention.
Detailed Description
The invention is further illustrated by the following examples:
referring to fig. 1, the present invention is an optimal design method of a grating structure provided in a rectangular duct, the grating structure including longitudinal partitions arranged at intervals in a width direction of the rectangular duct and transverse partitions arranged at intervals in a height direction of the rectangular duct, the optimal design method comprising the steps of:
s1, a designer sets constraint parameters to a system, wherein the constraint parameters are specifically width parameters and height parameters of a rectangular pipeline section, and the step S2 is performed;
s2, establishing constraint conditions based on constraint parameters set in the step S1, on the premise that the constraint conditions are met, selecting test values of design parameters required to be optimized for the grid structure by the system, establishing a three-dimensional geometric and data simulation model of the grid structure, and entering the step S3, wherein the design parameters required to be optimized for the grid structure are thickness parameters, number parameters, length parameters and interval parameters between adjacent partition boards, and the constraint conditions are as follows:
Figure GDA0002328583750000031
wherein W and H are respectively the width parameter and the height parameter of the rectangular pipeline, M is the number parameter of the longitudinal partition plates, N is the number parameter of the transverse partition plates, and W i Representing the thickness parameter of the i-th longitudinal partition (i.e. sequentially increasing order from one side to the other side in the width direction of the rectangular pipe), W i A pitch parameter representing the ith lateral separation in the grid structure (i.e., sequentially increasing order from one side to the other side in the width direction of the rectangular tube), h j Representing the thickness parameter of the j-th transverse partition plate (namely, progressively increasing from one side to the other side of the height direction of the rectangular pipeline), H j Pitch parameters representing the jth longitudinal spacing in the grid structure (i.e., sequentially increasing order from one side to the other side of the rectangular tube height direction).
S3, based on the three-dimensional geometric and structural data simulation model of the grid established in the step S2, simulating an incident sound wave by the system, describing the space-time distribution characteristics of any incident sound wave in a frequency-wave number domain by using a Fourier mode decomposition method, and entering the step S4; s4, describing the space-time distribution characteristics of the reflected sound wave and the transmitted sound wave in the grid structure by using a Fourier mode decomposition method, and describing the space-time distribution characteristics of the reflected sound wave at the upstream of the grid structure and the transmitted sound wave at the downstream of the grid structure by using a Fourier mode decomposition method, wherein the sum of the speeds of the reflected sound wave and the transmitted sound wave at the upstream of the grid structure and the transmitted sound wave and the incident sound wave at the downstream of the grid structure meet the non-penetrating boundary condition on the wall surface of the rectangular pipeline; step S5 is entered;
s5, the system respectively utilizes the conditions of continuous pressure distribution and conservation of mass flow on the sections at two ends of the grid structure to construct an equation set, solves and determines the corresponding amplitude values of the reflected sound wave and the transmitted sound wave in the grid structure in the step S4 under each modal component through Matlab mathematical software, and enters the step S6;
s6, calculating the transmission loss of the incident sound wave under a single frequency or a plurality of frequencies according to the space-time distribution characteristics of the reflected sound wave at the upstream of the grid structure and the transmitted sound wave at the downstream of the grid structure in the step S4, outputting test values of all design parameters at the moment as a group of test samples, and entering the step S7;
s7, judging whether all test samples meeting the constraint conditions are acquired, if not, returning to the step S2, and if so, entering the step S8;
s8, the system establishes a sample database according to all acquired test samples, then an optimized mathematical programming method is adopted for the sample database, the optimized mathematical programming method is recommended to be a response surface method or a genetic algorithm, the optimal test sample is determined by taking the maximum value of the sound transmission loss as a target, the test value of each design parameter corresponding to the optimal test sample is an optimal parameter value, and each optimal parameter value is output.
In addition, it should be noted that, in the specific embodiments described in the present specification, names of various parts and the like may be different, and all equivalent or simple changes of the structures, features and principles described in the conception of the present invention are included in the protection scope of the present invention. Those skilled in the art may make various modifications or additions to the described embodiments or substitutions in a similar manner without departing from the scope of the invention as defined in the accompanying claims.

Claims (6)

1. The utility model provides an optimization design method of grid structure in locating rectangular pipeline, grid structure includes along the width direction interval arrangement's of rectangular pipeline longitudinal baffle and along the height direction interval arrangement's of rectangular pipeline transverse baffle, its characterized in that: the optimal design method comprises the following steps:
s1, a designer sets constraint parameters to a system, and the step S2 is carried out;
s2, establishing constraint conditions based on the constraint parameters set in the step S1, selecting test values of design parameters required to be optimized for the grid structure by the system on the premise of meeting the constraint conditions, establishing a three-dimensional geometric and data simulation model of the grid structure, and entering the step S3;
s3, based on the three-dimensional geometric and data simulation model of the grid structure established in the step S2, simulating the incident sound wave by the system, describing the space-time distribution characteristics of any incident sound wave in the frequency-wave number domain by using a modal decomposition method, and entering the step S4;
s4, describing the space-time distribution characteristics of the reflected sound wave and the transmitted sound wave in the grid structure by using a modal decomposition method based on the step S3, describing the space-time distribution characteristics of the reflected sound wave at the upstream of the grid structure and the transmitted sound wave at the downstream of the grid structure by using the modal decomposition method, and entering the step S5;
s5, the system respectively utilizes the conditions of continuous pressure distribution and conservation of mass flow on the sections at two ends of the grid structure to construct an equation set to solve and determine the corresponding amplitude values of the reflected sound wave and the transmitted sound wave in the grid structure in the step S4 under each modal component, and the step S6 is entered;
s6, calculating the transmission loss of the incident sound wave according to the space-time distribution characteristics of the reflected sound wave at the upstream of the grid structure and the transmitted sound wave at the downstream of the grid structure in the step S4, outputting test values of all design parameters at the moment as a group of test samples, and entering the step S7;
s7, judging whether all test samples meeting the constraint conditions are acquired, if not, returning to the step S2, and if so, entering the step S8;
s8, the system establishes a sample database according to all acquired test samples, then adopts an optimized mathematical programming method for the established sample database, and determines an optimal test sample by taking the maximum value of the sound transmission loss as a target, wherein test values of all design parameters corresponding to the optimal test sample are optimal parameter values, and all the optimal parameter values are output.
2. The method for optimizing a grid structure provided in a rectangular duct according to claim 1, wherein: the constraint parameters are width parameters and height parameters of the rectangular pipeline section.
3. The method for optimizing a grid structure provided in a rectangular duct according to claim 2, wherein: the design parameters required to be optimized for the grid structure are thickness parameters, number parameters, length parameters of each partition board and interval parameters between adjacent partition boards.
4. A method of optimizing a grid structure provided in a rectangular duct according to claim 3, wherein: the constraint condition in the step S2 is the formula:
Figure FDA0002328583740000021
and->
Figure FDA0002328583740000022
Wherein W and H are respectively the width parameter and the height parameter of the rectangular pipeline, M is the number parameter of the longitudinal partition plates, N is the number parameter of the transverse partition plates, and W i Representing the thickness parameter of the i-th longitudinal partition, W i A pitch parameter, h, representing the ith lateral separation in the grid structure j Represents the thickness parameter of the j-th transverse separator, H j A pitch parameter representing the jth longitudinal spacing in the grid structure.
5. The method for optimizing a grid structure provided in a rectangular duct according to claim 1, wherein: the mode decomposition method in the step S3 and the step S4 is a Fourier mode decomposition method.
6. The method for optimizing a grid structure provided in a rectangular duct according to claim 1, wherein: and in the step S4, the sum of the speeds of the reflected sound wave and the transmitted sound wave in the grid structure, the reflected sound wave at the upstream of the grid structure and the transmitted sound wave and the incident sound wave at the downstream of the grid structure meets the conditions of no-penetration boundary on the wall surface of the rectangular pipeline, continuous pressure distribution and conservation of mass flow on the cross sections of the two ends of the grid structure.
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WO2012022461A2 (en) * 2010-08-20 2012-02-23 Hochschule Ingolstadt University Of Applied Sciences Institut Für Angewandte Forschung (Iaf) Wave propagation simulation method, and computer unit for carrying out said method
CN106202731A (en) * 2016-07-12 2016-12-07 南京理工大学 Bridge crane multi-flexibl e dynamics structural optimization method
CN110222432A (en) * 2019-06-12 2019-09-10 中国科学院沈阳自动化研究所 A kind of local restriction damping sheet method for optimally designing parameters based on genetic algorithm

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2012022461A2 (en) * 2010-08-20 2012-02-23 Hochschule Ingolstadt University Of Applied Sciences Institut Für Angewandte Forschung (Iaf) Wave propagation simulation method, and computer unit for carrying out said method
CN106202731A (en) * 2016-07-12 2016-12-07 南京理工大学 Bridge crane multi-flexibl e dynamics structural optimization method
CN110222432A (en) * 2019-06-12 2019-09-10 中国科学院沈阳自动化研究所 A kind of local restriction damping sheet method for optimally designing parameters based on genetic algorithm

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