TW201404984A - Particle swarm method for optimizing sound absorbing panel structure - Google Patents

Particle swarm method for optimizing sound absorbing panel structure Download PDF

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TW201404984A
TW201404984A TW101127521A TW101127521A TW201404984A TW 201404984 A TW201404984 A TW 201404984A TW 101127521 A TW101127521 A TW 101127521A TW 101127521 A TW101127521 A TW 101127521A TW 201404984 A TW201404984 A TW 201404984A
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sound absorbing
tuning
particle
sound
optimizing
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TWI621758B (en
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Min-Chie Chiu
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Univ Chung Chou Sci & Tech
Min-Chie Chiu
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Abstract

The invention relates to a particle swarm method for optimizing sound absorbing panel structure, comprising the following steps: construction of a hybrid type sound absorbing system for full frequency and tuning, identification of an object to be achieved for system optimization, provision of an objective function for the best design strategy of the object, provision of a resource constraint formulation for proceeding with optimal calculation, initialization of parameters before the optimal calculation, namely, encoding of parameters to generate an initial position and an initial velocity of particles, and then calculation the initialized parameters with the objective function to get an answer to obtain a fitness value of the objective function of the particles, and comparison the fitness value of the objective function with the best fitness value of the objective function of the particles which are searched. If the error of the global best value is smaller than or equal to the preset minimum value or the iteration number is reached to the preset number, the calculation is completed. Otherwise, the optimal calculation for the parameters is continued.

Description

以粒子群法最佳化吸音板結構之方法 Method for optimizing sound absorbing panel structure by particle group method

本發明係有關於一種以粒子群法最佳化吸音板結構之方法,尤其是指一種藉由一維平面波(低階波)的四埠傳輸矩陣法配合粒子群法進行全頻暨調音混合型吸音系統的多變數設計參數之最佳化運算分析,以快速且有效尋求參數之數值最佳解,達到消除廠房內的全頻(低頻、中頻、高頻、純音)反射音者。 The invention relates to a method for optimizing the structure of a sound absorbing panel by a particle group method, in particular to a four-dimensional transmission matrix method with a one-dimensional plane wave (low-order wave) and a particle swarm method for full-frequency and tuned hybrid type. The optimal operation analysis of the multi-variable design parameters of the sound absorbing system is to quickly and effectively seek the optimal solution of the numerical values of the parameters to eliminate the full-frequency (low-frequency, intermediate-frequency, high-frequency, pure-tone) reflected sounds in the factory.

按,聲波是聲音的傳播形式,聲波可藉由氣體、液體與固體傳播,且其傳遞方式有反射、折射、繞射等;由於科技文明之發達,使得生活中充滿了各種噪音,諸如車輛之引擎聲、喇叭聲、飛機或冷氣壓縮機等等,過大之噪音往往會嚴重影響情緒、破壞生活品質,尤其是居住在高架道路兩旁之居民,呼嘯而過之汽車噪音,不論是白天或夜晚都相當惱人,其他還有大樓地下室之發電機室、機房、工廠等場所,亦是大部分噪音之產生源,而『吸音』則為噪音防止手段之一,主要利用阻止聲音之反射與折射,或削減聲波本身能量以降低其振動,達到降低噪音產生之功效。 According to the sound wave, the sound wave is a form of sound propagation. The sound wave can be transmitted by gas, liquid and solid, and its transmission mode includes reflection, refraction, diffraction, etc.; due to the development of scientific and technological civilization, life is full of various noises, such as vehicles. Engine noise, horn sound, aircraft or air-conditioning compressors, etc. Excessive noise often seriously affects mood and destructs the quality of life, especially the residents living on the elevated roads, the noise of the cars passing by, whether day or night It is quite annoying. Others are the generator room, machine room, factory and other places in the basement of the building. They are also the source of most noise, and “sound absorption” is one of the noise prevention methods, mainly to prevent the reflection and refraction of sound, or Reduce the energy of the sound wave itself to reduce its vibration and reduce the noise.

舉例而言,密閉廠房內存在有高度的迴音,不僅直接危害員工的健康,亦違反勞工安全衛生法300條有關音量暴露劑 量之規定,且上述噪音的不良影響,也間接導致生產力及產品品質的低落,進而影響整體製造事業體系的競爭力與生產利潤;對於追求精緻且高品質的精密製程工廠而言,影響甚鉅;而現行技術為了消除噪音或避免噪音干擾到他人,最簡單且最普遍使用的方式就是在廠房內的各個牆面、隔間的表面設置隔音板(棉)或吸音板(棉),使聲波被這些隔音或吸音材料所吸收,而阻絕聲波的傳遞,藉以降低廠房內的迴音。 For example, there is a high level of echo in the closed factory, which not only directly endangers the health of employees, but also violates the 300 articles on volume exposure agents of the Labor Safety and Health Act. The amount of regulation, and the adverse effects of the above-mentioned noise, also indirectly lead to the decline of productivity and product quality, which in turn affects the competitiveness and production profit of the overall manufacturing business system; for the pursuit of sophisticated and high-quality precision process plants, the impact is huge In order to eliminate noise or avoid noise interference with others, the simplest and most common way is to provide sound insulation board (cotton) or sound absorbing board (cotton) on the surface of each wall and compartment in the factory to make sound waves. It is absorbed by these soundproofing or sound absorbing materials to block the transmission of sound waves, thereby reducing the echo in the factory.

然,目前對於有效地降低廠內迴音及降低噪音上的控制及研究,均只在吸音材料、集吸音原件、改變吸音板之構造或增加消音器材等方面做改良,且對於吸音板的設計參數也僅侷限於單一變數之討論,因而缺乏彈性設計及最佳化之能力,且多數隔音板(棉)或吸音板(棉)之設置係以試誤法之方式進行,藉由逐一選用既有之吸音板,進行密閉廠房內之音場分析,不僅選材之範圍有限,且亦無法調變設計參數;因此,發展一套有系統、整體性、具有多變數設計參數之最佳化吸音設計之改良方法,以控制廠內迴音確實有其必要性。 However, at present, the control and research on effectively reducing the echo and noise reduction in the factory are only improved in the aspects of sound absorbing materials, sound absorbing originals, changing the structure of the sound absorbing panels or adding noise absorbing equipment, and the design parameters for the sound absorbing panels. It is also limited to the discussion of a single variable, so it lacks the ability to design and optimize the elasticity, and most of the sound insulation board (cotton) or sound-absorbing board (cotton) are set up in a trial and error manner, by selecting one by one. The sound absorbing panel is used for the analysis of the sound field in the closed building. The selection of materials is limited, and the design parameters cannot be adjusted. Therefore, a system of sound absorbing design with systematic, holistic and multi-variable design parameters is developed. Improved methods to control the echo in the factory do have its necessity.

今,發明人即是鑑於上述現有降低廠內迴音及控制噪音之方法在實際實施上仍具有多處之缺失,於是乃一本孜孜不倦之精神,並藉由其豐富之專業知識及多年之實務經驗所輔佐,而加以改善,並據此研創出本發明。 Nowadays, the inventor is in view of the above-mentioned existing methods of reducing the echo and noise control in the factory, and there are still many defects in the actual implementation. Therefore, it is a tireless spirit, and with its rich professional knowledge and years of practical experience. The invention was assisted and improved, and the present invention was developed based on this.

本發明主要目的為提供一種藉由一維平面波(低階波)的四埠傳輸矩陣法配合粒子群法進行全頻暨調音混合型吸音系統的多變數設計參數之最佳化運算分析,以快速且有效尋求參數之數值最佳解,達到消除廠房內的全頻(低頻、中頻、高頻、純音)反射音者。 The main object of the present invention is to provide a four-dimensional transfer matrix method of one-dimensional plane wave (low-order wave) and particle swarm optimization method for optimal operation analysis of multi-variable design parameters of a full-frequency and tuned hybrid sound absorbing system. And effectively seek the best numerical solution of the parameters, to eliminate the full frequency (low frequency, intermediate frequency, high frequency, pure tone) reflected sound in the factory.

為了達到上述實施目的,本發明人提出一種以粒子群法最佳化吸音板結構之方法,係至少包括下列步驟:首先,建構一個全頻暨調音混合型吸音系統,當全頻暨調音混合型吸音系統以粒子群法進行最佳化運算時,所需之參數係為全頻暨調音混合型吸音系統之各元件形狀、配置及其材料性質;之後,定義上述之全頻暨調音混合型吸音系統最佳化之後所欲達成之目標;接著,提供目標最佳設計策略之目標函數;然後,提供參數之資源限制式;接續,初始化參數,並將參數編碼以產生粒子之初始位置與初始速度;之後,將初始化之參數代入目標函數求解,以獲得粒子之目標函數適應值,並比較目標函數適應值與粒子所搜尋過的最佳目標函數適應值,其中,最佳目標函數適應值係為該粒子個體所擁有的個體最佳值(pbest)與群體最佳值(gbest);最後,若群體最佳值誤差小於或等於一預設最小值或迭代次數到達預設次數時,運算結束;反之再重複進行步驟六。 In order to achieve the above-mentioned implementation object, the inventors propose a method for optimizing the structure of the sound absorbing panel by the particle group method, which at least includes the following steps: First, constructing a full frequency and tuning mixing type sound absorbing system, when the full frequency cum tuning type When the sound absorbing system is optimized by the particle swarm method, the required parameters are the shape, configuration and material properties of the components of the full-frequency and tuned hybrid sound absorbing system; after that, the above-mentioned full-frequency and tuned hybrid sound absorbing is defined. The goal to be achieved after the system is optimized; then, the objective function of the target optimal design strategy is provided; then, the resource limit of the parameter is provided; the connection is continued, the parameters are initialized, and the parameters are encoded to generate the initial position and initial velocity of the particle After that, the initialization parameters are substituted into the objective function solution to obtain the objective function adaptation value of the particle, and the fitness value of the objective function is compared with the optimal objective function value searched by the particle. The optimal objective function adaptation value is The individual's best value (pbest) and the group's best value (gbest) owned by the individual particles; finally, if the group is the most Value is better than or equal to a predetermined minimum value or when the number of iterations reaches the preset number of times, the operation is ended; otherwise repeat Step VI.

如上所述以粒子群法最佳化吸音板結構之方法,其中目標函數包括有最大化吸音率或最小化聲音功率位準(SWL)其 中之一。 A method of optimizing a sound absorbing panel structure by a particle swarm method as described above, wherein the objective function includes maximizing sound absorption rate or minimizing sound power level (SWL) One of them.

如上所述以粒子群法最佳化吸音板結構之方法,其中全頻暨調音混合型吸音系統係以一維平面波理論及荷姆霍茲共鳴腔之音響阻抗為基礎建構。 The method of optimizing the structure of the sound absorbing panel by the particle group method as described above, wherein the full frequency and tuning mixed sound absorbing system is constructed based on the one-dimensional plane wave theory and the acoustic impedance of the Homer Holtz resonance chamber.

再者,全頻暨調音混合型吸音系統可以複數個承板以及與該承板連接之複數個沖孔板所構成,其中承板係界定出至少一個具開口之調音共鳴腔,且沖孔板與承板形成至少一吸音體;且於沖孔板之孔洞可進一步設有至少一調音管;此外,調音共鳴腔或吸音體可分別設有至少一層吸音棉。 Furthermore, the full frequency and tuning hybrid sound absorbing system can be composed of a plurality of carrier plates and a plurality of punching plates connected to the carrier plate, wherein the carrier plate defines at least one tuning resonance cavity with an opening, and the punching plate Forming at least one sound absorbing body with the carrier plate; and the hole of the punching plate may further be provided with at least one tuning tube; in addition, the tuning resonance cavity or the sound absorbing body may be respectively provided with at least one layer of sound absorbing cotton.

如上所述以粒子群法最佳化吸音板結構之方法,其中全頻暨調音混合型吸音系統之元件形狀參數可選自沖孔內徑、沖孔板厚度、沖孔板開口率以及吸音棉厚度所構成之群組,其元件配置參數可選自空氣層厚度、調音共鳴腔頸直徑、調音共鳴腔頸長度、共鳴腔體積所構成之群組,而元件材料性質參數則包括有吸音棉流阻抗。 The method for optimizing the structure of the sound absorbing panel by the particle group method as described above, wherein the component shape parameter of the full frequency cum tuning mixing type sound absorbing system may be selected from the group consisting of a punching inner diameter, a punching plate thickness, a punching plate opening ratio, and a sound absorbing cotton. The group of thicknesses may have a component configuration parameter selected from the group consisting of an air layer thickness, a tuning resonance neck diameter, a tuning resonance neck length, and a resonance cavity volume, and the component material property parameters include a sound absorbing cotton stream. impedance.

藉此,本發明以一維平面波(低階波)的四埠傳輸矩陣法配合粒子群法進行全頻暨調音混合型吸音系統在密閉廠房內的多變數設計參數之最佳化分析,提供業界所需之具系統、整體性之彈性設計方式,以最佳化之參數設計有限空間內所需的全頻暨調音混合型吸音系統,不僅可確實消除密閉廠房內的全頻(低頻、中頻、高頻、純音)反射音,亦能避免如傳統以試誤法之方式,逐一選用既有之吸音板所造成之材料、人力以及時 間成本上之浪費與不便。 Therefore, the present invention provides a multi-variable design parameter optimization analysis of a full-frequency and tuned hybrid sound absorbing system in a closed factory by a one-dimensional plane wave (low-order wave) four-turn transmission matrix method and a particle swarm method. The system and the overall flexible design method are required to design the full-frequency and tuned hybrid sound absorbing system required in the limited space with optimized parameters, which can not only eliminate the full frequency (low frequency, intermediate frequency) in the closed building. , high frequency, pure tone) reflected sound, can also avoid the traditional method of trial and error, the material, manpower and time caused by the existing sound absorbing panels The waste of cost and inconvenience.

本發明之目的及其結構功能上的優點,將依據以下圖面所示之結構,配合具體實施例予以說明,俾使審查委員能對本發明有更深入且具體之瞭解。 The object of the present invention and its structural and functional advantages will be explained in conjunction with the specific embodiments according to the structure shown in the following drawings, so that the reviewing committee can have a more in-depth and specific understanding of the present invention.

首先,在本案說明書中,將以面對聲波之一面為外向面,由外向面向沖孔板(2)方向設為由外向內,特予說明如上。 First, in the present specification, the direction facing the sound wave is the outward direction, and the direction from the outward direction toward the punching plate (2) is set from the outside to the inside.

請參照第一圖所示,為本發明之以粒子群法最佳化吸音板結構之方法的步驟流程圖,係主要包括有如下步驟:步驟一(S1):建構一個全頻暨調音混合型吸音系統,當全頻暨調音混合型吸音系統以粒子群法進行最佳化運算時,所需之參數係為全頻暨調音混合型吸音系統之各元件形狀、配置及其材料性質;步驟二(S2):定義上述之全頻暨調音混合型吸音系統最佳化之後所欲達成之目標;步驟三(S3):提供目標最佳設計策略之目標函數;其中,目標函數包括有最大化吸音率(sound absorption coefficient)或最小化聲音功率位準(sound power level,SWL)其中之一;步驟四(S4):提供參數之資源限制式;步驟五(S5):初始化參數,並將參數編碼以產生粒子 之初始位置與初始速度;步驟六(S6):將粒子代入目標函數求解,以獲得粒子之目標函數適應值(fitness value),比較目標函數適應值與粒子所搜尋過的最佳目標函數適應值;其中,最佳目標函數適應值係為該粒子個體所擁有的個體最佳值(personal best value,pbest)與群體最佳值(global best value,gbest);以及步驟七(S7):若群體最佳值(global best value,gbest)誤差小於或等於一預設最小值或迭代次數到達預設次數時,運算結束;反之再重複進行步驟六(S6);其中,上述運算結束之條件有二種,一種是族群在各粒子更新後,族群的群體最佳值誤差已完全收斂至一預設最小值,即目標粒子包含的參數即可符合使用者欲建構之全頻暨調音混合型吸音系統的目標函數需求;而另一種是迭代次數達到一目標迭代次數,此目標迭代次數係由使用者預先制定,代表粒子群優演算法則可執行的次數(即各粒子更新自身的粒子位置與粒子速度的次數);一般為加速完成粒子群優演算法則,可將終止條件制定為目標迭代次數。 Referring to the first figure, the flow chart of the method for optimizing the structure of the sound absorbing panel by the particle group method of the present invention mainly includes the following steps: Step 1 (S1): constructing a full frequency and tuning hybrid type. In the sound absorbing system, when the full-frequency and tuned hybrid sound absorbing system is optimized by the particle swarm method, the required parameters are the shape, configuration and material properties of the components of the full-frequency and tuned hybrid sound absorbing system; (S2): defining the desired goal after the optimization of the above-mentioned full-frequency and tuning hybrid sound absorbing system; step 3 (S3): providing an objective function of the target optimal design strategy; wherein the objective function includes maximizing sound absorption Sound absorption coefficient or one of the sound power level (SWL) is minimized; step four (S4): resource-limited formula for providing parameters; step five (S5): initializing parameters and encoding parameters To produce particles Initial position and initial velocity; Step 6 (S6): Substituting particles into the objective function to obtain the objective function fitness value of the particle, comparing the fitness value of the objective function with the optimal objective function value searched by the particle Wherein, the optimal objective function adaptation value is the individual best value (pbest) and the global best value (gbest) possessed by the individual particle; and step 7 (S7): if the group When the error of the global best value (gbest) is less than or equal to a preset minimum value or the number of iterations reaches a preset number of times, the operation ends; otherwise, the step 6 is repeated (S6); wherein the condition for ending the operation is two One type is that after the particles are updated, the group optimal value error of the group has completely converged to a preset minimum value, that is, the parameters of the target particle can conform to the full frequency and tuning mixed sound absorption system that the user wants to construct. The objective function requirement; the other is that the number of iterations reaches a target number of iterations, and the number of iterations of the target is pre-determined by the user, representing the particle swarm optimization algorithm. The number of executions (i.e., the position of the particle itself and the number of particles in each particle velocity updates); particle group is generally preferred to accelerate the completion of the algorithm, the termination condition may be developed as a target number of iterations.

值得注意的,本發明運用之粒子群法係在進行工程問題最佳化時所運用的方法之一,粒子群最佳化演算法(Particle Swarm Optimization)的理論最 早在1995年由Kennedy和Eberhart二位學者所提出,其概念主要來自於鳥和魚的群聚行為,利用鳥或魚(意即粒子)群聚移動的概念於搜尋空間中找尋最佳解,而在每次最佳化的運算中,每一個粒子都各自負責一部分的區域最佳化的參數搜尋,在這搜尋過程中每個粒子都會紀錄目前自己找到的個體最佳值(pbest),讓在搜尋過程中有個移動的目標,且每個粒子除了會往自己目前所找到的個體最佳值之外,也會往目前所有粒子中的群體最佳值(gbest)作移動,使得找出的解達到全域最佳化的效果。 It is worth noting that the particle swarm optimization method used in the present invention is one of the methods used in optimizing engineering problems, and the theory of Particle Swarm Optimization is the most theoretical. As early as 1995, two scholars, Kennedy and Eberhart, proposed that the concept mainly comes from the clustering behavior of birds and fish, using the concept of the movement of birds or fish (meaning particles) to find the best solution in the search space. In each optimization operation, each particle is responsible for a part of the region-optimized parameter search. During the search process, each particle records the individual best value (pbest) that it has found. There is a moving target in the search process, and each particle will move to the best value of all the particles (gbest) in the current particle, in addition to the individual best value that it has found so far. The solution achieves the effect of global optimization.

請參閱第二圖所示,為本發明其一較佳實施例(混合A型吸音板)之全頻暨調音混合型吸音系統示意圖,在此係藉由下述之具體實施例,可進一步證明本發明之步驟流程可實際應用之範圍,但不意欲以任何形式限制本發明之範圍:於本實施例中之全頻暨調音混合型吸音系統可以複數個承板(1)以及與其連接之複數個沖孔板(2)所構成,其中該等承板(1)界定出一個具開口之調音共鳴腔(3),於調音共鳴腔(3)之頸部(31)兩側分別具有由沖孔板(2)與承板(1)形成之吸音體(4),且吸音體(4)設有至少一層吸音棉(5),於本實施例中係為一層,但並不限定為一層;再者,本發明之全頻暨調音混合型吸音系統係以一維平面波理論及荷姆霍茲(Helmholtz)共鳴腔之音響阻抗為基礎建構;由第二圖可看出,本實施例之全頻暨調音混合型吸音系統係由單層 沖孔板(2)所形成之吸音體(4)及荷姆霍茲調音共鳴腔(3)所組成;首先,對於單層沖孔板(2)所形成之吸音體(4)而言,其聲波於介質mm中傳播時,距離相距L之點1與點2的聲壓P與聲音粒子速度μ矩陣關係函數可表示如下: 其中K mm 是聲波常數,Z mm 是音響阻抗(acoustic impedance);因此,第二圖中之點0與點1的聲壓P與聲音粒子速度μ矩陣關係函數可表示為: 同理,厚度為Df的吸音棉(5),其內部的點1與點2的聲壓P與聲音粒子速度μ之矩陣關係函數為: 其中K fiber 是聲音粒子於吸音棉(5)之聲波常數;將上述函數採用特殊正向阻抗及波常數重寫為: 接著,在沖孔板(2)表面的正向阻抗Z3可用矩陣型式表示如下: 將上式展開並採用特殊正向阻抗及波常數,則沖孔板(2)表面的正向阻抗Z3可表示為複變型式如下: 其中,q為沖孔板(2)厚度、d為沖孔內徑、f為共鳴頻率、N為沖孔板(2)每1m2的沖孔數量、ρ 0為空氣密度;因此,對於正向入射音波而言,單層沖孔板(2)所形成吸音體(4)之正向吸音率α 1為: Please refer to the second figure, which is a schematic diagram of a full-frequency and tuned hybrid sound absorbing system according to a preferred embodiment of the present invention (mixed type A sound absorbing panel), which can be further proved by the following specific embodiments. The flow of the steps of the present invention is applicable to the scope of the present invention, but is not intended to limit the scope of the present invention in any form. In the present embodiment, the full-frequency and tuned hybrid sound absorbing system can have a plurality of carrier plates (1) and a plurality of them connected thereto. The punching plate (2) is configured, wherein the supporting plate (1) defines a tuning resonance chamber (3) having an opening, and has a punch on both sides of the neck (31) of the tuning resonance chamber (3) The sound absorbing body (4) formed by the orifice plate (2) and the carrier plate (1), and the sound absorbing body (4) is provided with at least one layer of sound absorbing cotton (5), which is a layer in the embodiment, but is not limited to one layer. Furthermore, the full-frequency and tuned hybrid sound absorbing system of the present invention is constructed based on the one-dimensional plane wave theory and the acoustic impedance of the Helmholtz resonance chamber; as can be seen from the second figure, the present embodiment The full-range and tuned hybrid sound absorbing system is a sound absorbing body (4) formed by a single-layer punching plate (2) and Homerho The tuning resonance chamber (3) is composed of; firstly, for the sound absorbing body (4) formed by the single-layer punching plate (2), when the sound wave propagates in the medium mm, the distance between the point L and the point 2 is The relationship between the sound pressure P and the sound particle velocity μ matrix can be expressed as follows: Where K mm is the acoustic constant and Z mm is the acoustic impedance; therefore, the relationship between the sound pressure P of point 0 and point 1 in the second figure and the sound particle velocity μ matrix can be expressed as: Similarly, the sound-absorbing cotton (5) with a thickness of Df has a matrix relationship between the sound pressure P of the points 1 and 2 and the sound particle velocity μ: Where K fiber is the acoustic constant of the sound particle in the sound absorbing cotton (5); the above function is rewritten with a special forward impedance and wave constant as: Next, the forward impedance Z 3 on the surface of the punching plate (2) can be expressed in a matrix pattern as follows: Expanding the above formula and using a special forward impedance and wave constant, the forward impedance Z 3 of the surface of the punching plate (2) can be expressed as a complex version as follows: Where q is the thickness of the punching plate (2), d is the inner diameter of the punching hole, f is the resonance frequency, N is the number of punching holes per 1 m 2 of the punching plate (2), and ρ 0 is the air density; therefore, for positive For the incident sound wave, the positive sound absorption rate α 1 of the sound absorbing body (4) formed by the single-layer punching plate (2) is:

接著,對於調音共鳴腔(3)而言,因調音共鳴腔(3)係結構中間封閉有一定體積的空腔,並通過一定深度的小孔和聲場空間連通,其吸音原理可用荷姆霍茲共振器(Helmholtz Resonator,HR)來說明;當孔的深度和孔徑比聲波波長小很多時,孔頸中的空氣栓的彈性變形很小,可以看作是質量塊來處理,封閉空腔的體積比孔頸大得多,有空氣彈簧的作用,而當外界入射聲波頻率和系統之本身 自然共振頻率相等時,孔頸中的空氣柱就由於共振而產生劇烈振動,在振動過程中,空氣栓和孔頸側壁摩擦而消耗能量;於本實施例中,係假設調音共鳴腔(3)特性尺寸小於聲波波長,則空氣入射於調音共鳴腔(3)之頸部(31)可視為塊狀質點,在此共鳴過程,空氣絕熱擠壓可視為一彈簧,考慮內部與外部之音場端點效應(end correction)參數(l 2l 2),將之加入模態,以計算頸部(31)流體運動的慣性效應;此外,在頸部(31)開口小於調音共鳴腔(3)之斷面的前提下,於有法蘭相接之端點處,其音場端點效應參數(l 1l 2)為,其中r k 係為調音共鳴腔(3)之頸部(31)半徑;而對於簡化的荷姆霍茲調音共鳴腔(3)之塊狀模式中,其共鳴頻率f res 其中,c o 為聲音速度、S k 為調音共鳴腔(3)頸部(31)之斷面積、L k =D 1為調音共鳴腔(3)頸部(31)之長度、V c 為調音共鳴腔(3)之體積、l T 為調音共鳴腔(3)管對主管之總音場端點效應參數,其可表示為l T =l 1+l 2=1.698r k ;因此,調音共鳴腔(3)之音響阻抗Z(h)可表示為: R res 為音響之電阻阻抗,L res 為音響之電感阻抗,C res 則為音響之電容阻抗;而當調音共鳴腔(3)頸部(31)半徑為r k 時,其音響之電阻阻抗R res 一般可表示為: 其中,波常數、特性阻抗(characteristic impedance),當k o r k <0.5時,此音波為低頻聲波(平面波),故可忽略高階波可得 最後,調音共鳴腔(3)之音響阻抗Z(h)可表示為: 其中,;因此,對於正向入射音波而言,其荷姆霍茲調音共鳴腔(3)正向吸音率α 2為: 綜上所述,本實施例之全頻暨調音混合型吸音系統其平均吸音率即可表示為: 其中,S 1為調音共鳴腔(3)頸部(31)之斷面積,S 2調音 共鳴腔(3)之斷面積;接著,將上述之系統平均吸音率最大化作為本實施例之目標函數;因此,本實施例之目標函數OBJ=α sys (),=(f,p%,d,q,D 1);其中,p%為沖孔板(2)開口率,D 1=Df(吸音棉厚度)+L(空氣層厚度)+q(沖孔板厚度)為調音共鳴腔(3)頸部(31)之長度,且粒子群法參數(PSO parameter)之限制式分別為ω係表示慣性權重值係數(inertial weight coefficient)=(0.4,0.6,0.8,1.0,1.2),p係表示粒子族群數量(particle population size)=(100,200,400,800),而Iter max為迭代最大次數(maximaliteration number)=(100,200,400,800);值得注意的,於另一實施例中,目標函數可為最小化聲音功率位準(SWL),其中,聲音功率位準的定義係由聲音強度位準引伸而來,定義為,其中W為聲音功率,單位為watts,而W 0為標準參考功率,取10-12watts為基準,因此上式可改寫為SWL=10log10 W+120dBThen, for the tuning resonance chamber (3), because the tuning resonance chamber (3) structure is closed with a certain volume of cavities in the middle, and through a certain depth of small holes and the sound field space, the sound absorption principle can be used by Homer Respirators (Helmholtz Resonator, HR) to illustrate; when the depth and aperture of the hole is much smaller than the wavelength of the sound wave, the elastic deformation of the air plug in the neck is small, can be regarded as a mass to deal with, close the cavity The volume is much larger than the neck of the hole, and it has the function of an air spring. When the external incident acoustic wave frequency is equal to the natural resonance frequency of the system itself, the air column in the neck of the hole generates severe vibration due to resonance. During the vibration process, the air The plug and the neck of the neck are rubbed to consume energy; in this embodiment, it is assumed that the characteristic size of the tuning resonance chamber (3) is smaller than the wavelength of the acoustic wave, and the air (31) of the air incident on the tuning resonance chamber (3) can be regarded as a block shape. Particle, in this resonance process, air adiabatic extrusion can be regarded as a spring, considering the internal and external sound field end effect parameters ( l 2 and l 2 ), add it to the modal to calculate the neck ( 31) Fluid transport The inertia effect; in addition, the opening in the neck (31) under the premise of less than tuning resonance chamber (3) of the cross section, in contact with a flange at the end of which the end effect sound field parameters (l. 1 and l 2 ) for , where r k is the radius of the neck (31) of the tuning resonance chamber (3); and for the simplified block mode of the Homholtz tuning resonance chamber (3), the resonance frequency f res is Where c o is the sound velocity, S k is the tuning resonance cavity (3) the sectional area of the neck (31), L k = D 1 is the length of the tuning resonance cavity (3) neck (31), V c is the tuning The volume of the resonance chamber (3), l T is the tuning sound chamber (3) The end effect parameter of the total sound field of the tube to the main tube, which can be expressed as l T = l 1 + l 2 = 1.698 r k ; therefore, the tuning resonance The acoustic impedance Z (h) of the cavity (3) can be expressed as: R res is the resistance impedance of the sound, L res is the inductance impedance of the sound, C res is the capacitance impedance of the sound; and when the radius of the neck (31) of the tuning resonance chamber (3) is r k , the acoustic resistance R of the sound Res can generally be expressed as: Among them, the wave constant Characteristic impedance When k o r k <0.5, the sound wave is a low-frequency sound wave (planar wave), so the high-order wave can be ignored. Finally, the acoustic impedance Z (h) of the tuning resonance chamber (3 ) can be expressed as: among them, , , Therefore, for a forward incident sound wave, the Helmholtz tuning resonance chamber (3) has a positive sound absorption rate α 2 of: In summary, the average sound absorption rate of the full frequency and tuning hybrid sound absorbing system of this embodiment can be expressed as: Wherein, S 1 is the sectional area of the neck (31) of the tuning resonance chamber (3), and the sectional area of the resonance chamber (3) of the S 2 is tuned; then, the average sound absorption rate of the above system is maximized as the objective function of the embodiment. Therefore, the objective function OBJ = α sys (in this embodiment) ), =( f , p %, d , q , D 1 ); where p % is the opening ratio of the punching plate (2), D 1 = Df (the thickness of the sound absorbing cotton) + L (the thickness of the air layer) + q (punching The thickness of the plate is the length of the neck (31) of the tuning resonance chamber (3), and the limit of the particle group method parameter (PSO parameter) is ω , which means the inertial weight coefficient = (0.4, 0.6, 0.8, 1.0, 1.2), p represents the particle population size = (100, 200, 400, 800), and Iter max is the maximaliteration number = (100, 200, 400, 800); notably, in another embodiment, The objective function may be to minimize the sound power level (SWL), wherein the definition of the sound power level is derived from the sound intensity level, defined as Where W is the sound power in watts, and W 0 is the standard reference power, taking 10 -12 watts as the reference, so the above equation can be rewritten as SWL = 10log 10 W +120 dB .

請參閱第三圖所示,為本發明其二較佳實施例(混合B型吸音板)之全頻暨調音混合型吸音系統示意圖,其中調音共鳴腔(3)之頸部(31)係為延伸管型,而對於簡化的延伸管荷姆霍茲調音共鳴腔(3)之塊狀模式中,其共鳴頻率f res 為: 其中,音場端點效應參數(l 1l 2)分為l 1=0.7r k (無法蘭相接之端點)以及l 2=0.849r k (有法蘭相接之端點),且l T =l 1+l 2=1.549r k ;因此,調音共鳴腔(3)之音響阻抗Z為: Please refer to the third figure, which is a schematic diagram of a full-frequency and tuned hybrid sound absorbing system according to a second preferred embodiment of the present invention (mixed B-type sound absorbing panel), wherein the neck (31) of the tuning resonance chamber (3) is The extension tube type, and for the simplified extension tube Helmholtz tuning resonance chamber (3) in the block mode, the resonance frequency f res is: Wherein, the end effect parameters of the sound field ( l 1 and l 2 ) are divided into l 1 =0.7 r k (the end point where the blue phase cannot be connected) and l 2 =0.849 r k (the end point with the flange connection), And l T = l 1 + l 2 = 1.549 r k ; therefore, the acoustic impedance Z of the tuning resonance chamber (3) is:

請參閱第四圖所示,為本發明其三較佳實施例(混合C型吸音板)之全頻暨調音混合型吸音系統示意圖,與上述其一較佳實施例之相異處,係調音共鳴腔(3)之頸部(31)兩側之吸音體(4)內不設有吸音棉(5);再請參閱第五圖所示,為本發明其四較佳實施例(混合D型吸音板)之全頻暨調音混合型吸音系統示意圖,與上述其三較佳實施例之不同處,係於調音共鳴腔(3)中設有至少一層吸音棉(5),而於本實施例中係具有二層吸音棉(5);而對於簡化的具吸音棉(5)調音共鳴腔(3)之塊狀模式中,其共鳴頻率f res 為: 其中,;且音響之電阻阻抗可表示為: =k o {[1+0.0858(f/R f )-0.70]+j[-0.1749(f/R f )-0.59]};因此在低頻聲波(平 面波)條件下(kr k <0.5),此內部音場端點效應可簡化為;故,最終的音響之音場端點效應參數(l 2)分為(有法蘭相接之端點),以及l 2=0.849r k (有法蘭相接之端點)。 Please refer to the fourth figure, which is a schematic diagram of a full-frequency and tuned hybrid sound absorbing system according to a third preferred embodiment of the present invention (mixed C-type sound absorbing panel), which is different from the above-described preferred embodiment. The sound absorbing body (4) on both sides of the neck (31) of the resonance chamber (3) is not provided with sound absorbing cotton (5); again, as shown in the fifth figure, the fourth preferred embodiment of the present invention (mixed D A schematic diagram of a full-frequency and tuned hybrid sound absorbing system of a type of sound absorbing panel, which differs from the above-described three preferred embodiments in that at least one layer of sound absorbing cotton (5) is provided in the tuning resonance chamber (3), and in this embodiment In the example, there is a two-layer sound absorbing cotton (5); and for a simplified block mode with a sound absorbing cotton (5) tuning sound chamber (3), the resonance frequency f res is: among them, And the resistance of the acoustic impedance can be expressed as: = k o {[1+0.0858( f / R f ) -0.70 ]+ j [-0.1749( f / R f ) -0.59 ]}; therefore under low frequency acoustic wave (planar wave) conditions ( kr k <0.5), this Internal sound field endpoint effect Can be simplified to Therefore, the final sound field end effect parameter ( Divided with l 2 ) (with flanged end points), and l 2 =0.849 r k (end of flange connection).

值得注意的,本發明之以粒子群法最佳化吸音板結構之方法亦可適用於單層、雙層或三層吸音板之全頻暨調音混合型吸音系統,請參閱第六~八圖所示,並藉由粒子群法快速且有效尋求最佳參數之數值;而其最佳化之原理與求解過程類似其一較佳實施例之單層沖孔板(2)所形成之吸音體(4),於此不再贅述;下表為本發明單層、雙層或三層吸音板之全頻暨調音混合型吸音系統之沖孔板開口率、沖孔內徑、調音共鳴腔頸部長度等參數以及最佳化聲音功率位準(SWL)之數據直交表:其中,p%為沖孔板(2)開口、d為沖孔內徑、D 0=Df 1(吸音棉厚度)+L 1(空氣層厚度)+q 1(沖孔板厚度)、DDL=D 0-q 1-q 2-DD f DD f =Df 1+Df 2xx5=Df 1/DD f /(1-Df 1/DD f )、xx6=Df 2/DD f /(1-Df 1/DD f )、xx7=L 2/DDL/(1-L 1/DDL)。 It should be noted that the method for optimizing the structure of the sound absorbing panel by the particle group method of the present invention can also be applied to the full frequency and tuning mixed sound absorbing system of the single layer, double layer or three layer sound absorbing panels, please refer to the sixth to eighth pictures. As shown, the particle size method is used to quickly and efficiently find the value of the optimal parameter; and the principle of optimization is similar to the solution process. The sound absorbing body formed by the single-layer punching plate (2) of a preferred embodiment thereof is shown. (4), no longer repeat here; the following table is the aperture ratio, punching inner diameter, tuning resonance cavity neck of the full-frequency and tuning mixing type sound absorbing system of the single-layer, double-layer or three-layer sound absorbing panel of the present invention. Data length table such as length and other parameters of the optimized sound power level (SWL): where p % is the opening of the punching plate (2), d is the inner diameter of the punching hole, D 0 = Df 1 (the thickness of the sound absorbing cotton) + L 1 (air layer thickness) + q 1 (punching plate thickness), DDL = D 0 - q 1 - q 2 - DD f , DD f = Df 1 + Df 2 , xx 5 = Df 1 / DD f / (1- Df 1 / DD f ), xx 6= Df 2 / DD f /(1- Df 1 / DD f ), xx 7= L 2 / DDL /(1- L 1 / DDL ).

此外,請再參閱第九~十圖所示,分別為本發明其八~九較佳實施例之全頻暨調音混合型吸音系統示意圖,其中可於沖孔板(2)之孔洞(21)進一步設有至少一調音管(22),第九圖為於一吸音體(4)中設有一調音管(22),第十圖為於一吸音體(4)中設有二調音管(22);再者,請參閱第第十一~十二圖所示,分別為本發明其十~十一較佳實施例之全頻暨調音混合型吸音系統示意圖,係於沖孔板(2)與牆面間形成有三層吸音體(4),其中一調音管(22)可橫跨三層吸音體(4),另一調音管(22)橫跨有二層吸音體(4),如第十一圖所示;此外,亦可於吸音體(4)中設有吸音棉(5),如第十二圖所示。 In addition, please refer to the ninth to tenth drawings, which are respectively schematic diagrams of the full-frequency and tuned hybrid sound absorbing system of the eighth to ninth preferred embodiments of the present invention, wherein the holes (21) of the punching plate (2) are available. Further, at least one tuning tube (22) is provided. The ninth figure is provided with a tuning tube (22) in a sound absorbing body (4), and the tenth figure is provided with two tuning tubes (22) in a sound absorbing body (4). Further, please refer to the eleventh to twelfth drawings, which are schematic diagrams of the full-frequency and tuned hybrid sound absorbing system according to the tenth to eleventh preferred embodiments of the present invention, which are attached to the punching plate (2). A three-layer sound absorbing body (4) is formed between the wall and the wall, wherein one tuning tube (22) can span the three layers of sound absorbing body (4), and the other tuning tube (22) spans two layers of sound absorbing bodies (4), such as In the eleventh figure, in addition, sound absorbing cotton (5) may be provided in the sound absorbing body (4) as shown in Fig. 12.

另外,請參閱第十三~十五圖所示,分別為本發明其十二 ~其十四較佳實施例之全頻暨調音混合型吸音系統示意圖,第十三圖為於三吸音體(4)中設有對應長度之三調音管(22),且於靠近沖孔板(2)之吸音體(4)設有吸音棉(5);第十四圖為於兩兩吸音體(4)中設有橫跨其中之調音管(22);而第十五圖為於吸音體(4)中設有吸音棉(5);綜上所述之全頻暨調音混合型吸音系統,其以粒子群法最佳化之原理與求解過程類似其一較佳實施例之單層沖孔板所形成之吸音體,於此不再贅述;值得注意的,本發明之全頻暨調音混合型吸音系統其沖孔板(2)之數量、吸音體(4)之數量、調音管(22)之數量與位置、吸音棉(5)之設置情形皆僅為一較佳實施例,由於狀況眾多,難以一一列舉出來,在此僅於上述列舉數類型的結構,並加以說明其中之應用狀況及特點,在閱讀及了解本發明的敎導後,相關之數量與位置變化應視為本發明之等效變化或修飾。 In addition, please refer to the thirteenth to fifteenth figures, which are respectively twelve of the invention ~ The fourteen preferred embodiment of the full frequency and tuning mixed sound absorption system schematic diagram, the thirteenth figure is provided in the three sound absorption body (4) with a corresponding length of the three tuning tube (22), and close to the perforated plate (2) The sound absorbing body (4) is provided with sound absorbing cotton (5); the fourteenth figure is provided with a tuning tube (22) traversing the sound absorbing body (4); and the fifteenth drawing is The sound absorbing body (4) is provided with sound absorbing cotton (5); in summary, the full frequency and tuning mixing type sound absorbing system is similar to the solution process by a particle group method optimization principle. The sound absorbing body formed by the layer punching plate will not be described here; it is worth noting that the number of the punching plate (2), the number of the sound absorbing body (4), and the tuning of the full frequency and tuning mixing type sound absorbing system of the present invention are The number and position of the tubes (22) and the arrangement of the sound absorbing cotton (5) are only a preferred embodiment. Due to the numerous conditions, it is difficult to enumerate them one by one. Here, only the types of structures listed above are explained and explained. The status and characteristics of the application, after reading and understanding the guidance of the present invention, the related quantity and position change should be regarded as the equivalent change or repair of the present invention. Decoration.

由上述以粒子群法最佳化吸音板結構之方法與實施說明可知,本發明具有以下優點: From the above description of the method and the description of the structure of the sound absorbing panel optimized by the particle group method, the present invention has the following advantages:

1.本發明藉由一維平面波(低階波)的四埠傳輸矩陣法配合粒子群法進行全頻暨調音混合型吸音系統的多變數設計參數之最佳化分析,提供業界所需之具系統、整體性之彈性設計方式,以最佳化之參數設計有限空間(例如密閉廠房)內所需的全頻暨調音混合型吸音系統,避免如傳統以試誤法之方式,逐一選用既有之吸音板所造成之材料、人力以 及時間成本上之浪費。 1. The present invention provides an industry-required tool for the optimization of multi-variable design parameters of a full-frequency and tuned hybrid sound absorbing system by a one-dimensional plane wave (low-order wave) four-turn transmission matrix method combined with a particle swarm method. The system and the overall flexible design method, with the optimized parameters to design the full-frequency and tuning mixed sound absorption system required in the limited space (such as the closed factory building), avoiding the traditional method of trial and error, one by one. The material and manpower caused by the sound absorbing panel And wasted time cost.

2.本發明藉由粒子群最佳化搜尋全頻暨調音混合型吸音系統之各參數,令讓缺少專家經驗的使用者可以依據最佳化之情況來調整並建構出高吸音率或低聲音功率位準的全頻暨調音混合型吸音系統。 2. The invention searches for parameters of the full-frequency and tuning hybrid sound absorbing system by particle swarm optimization, so that users lacking expert experience can adjust and construct high sound absorption rate or low sound according to the optimization situation. Power level full-range and tuning hybrid sound absorption system.

3.本發明以粒子群演算法其僅需設定三個參數即可完成且具有快速收斂能力,對於追求精緻且高品質的精密製程工廠而言,可在有限空間下,發展一套有效的吸音系統,以確實消除密閉廠房內的全頻(低頻、中頻、高頻、純音)反射音。 3. The invention adopts the particle swarm algorithm to complete only three parameters and has a fast convergence capability. For a precision process factory that pursues exquisite and high quality, an effective sound absorption can be developed in a limited space. The system is to eliminate the full-frequency (low frequency, intermediate frequency, high frequency, pure tone) reflected sound in the closed building.

綜上所述,本發明以粒子群法最佳化吸音板結構之方法,的確能藉由上述所揭露之實施例,達到所預期之使用功效,且本發明亦未曾公開於申請前,誠已完全符合專利法之規定與要求。爰依法提出發明專利之申請,懇請惠予審查,並賜准專利,則實感德便。 In summary, the method for optimizing the structure of the sound absorbing panel by the particle group method can achieve the intended use efficiency by the above disclosed embodiments, and the present invention has not been disclosed before the application. Full compliance with the requirements and requirements of the Patent Law.爰Issuing an application for a patent for invention in accordance with the law, and asking for a review, and granting a patent, is truly sensible.

惟,上述所揭之圖示及說明,僅為本發明之較佳實施例,非為限定本發明之保護範圍;大凡熟悉該項技藝之人士,其所依本發明之特徵範疇,所作之其它等效變化或修飾,皆應視為不脫離本發明之設計範疇。 The illustrations and descriptions of the present invention are merely preferred embodiments of the present invention, and are not intended to limit the scope of the present invention; those skilled in the art, which are characterized by the scope of the present invention, Equivalent variations or modifications are considered to be within the scope of the design of the invention.

(1)‧‧‧承板 (1)‧‧‧ board

(2)‧‧‧沖孔板 (2) ‧‧‧punching plate

(21)‧‧‧孔洞 (21)‧‧‧ holes

(22)‧‧‧調音管 (22)‧‧‧ Tuning tube

(3)‧‧‧調音共鳴腔 (3) ‧‧‧ Tuning resonance chamber

(31)‧‧‧頸部 (31)‧‧‧ neck

(4)‧‧‧吸音體 (4) ‧‧‧Acoustic body

(5)‧‧‧吸音棉 (5) ‧‧‧Acoustic cotton

(S1)‧‧‧步驟一 (S1)‧‧‧Step one

(S2)‧‧‧步驟二 (S2)‧‧‧Step 2

(S3)‧‧‧步驟三 (S3) ‧ ‧ Step 3

(S4)‧‧‧步驟四 (S4)‧‧‧Step four

(S5)‧‧‧步驟五 (S5) ‧ ‧ step five

(S6)‧‧‧步驟六 (S6) ‧‧‧Step six

(S7)‧‧‧步驟七 (S7) ‧‧‧Step seven

第一圖:本發明之方法步驟流程圖 First Figure: Flow chart of the method of the present invention

第二圖:本發明其一較佳實施例(混合A型吸音板)之全頻暨調音混合型吸音系統示意圖 Second: Schematic diagram of a full frequency and tuning hybrid sound absorbing system according to a preferred embodiment of the present invention (mixed type A sound absorbing panel)

第三圖:本發明其二較佳實施例(混合B型吸音板)之全頻暨調音混合型吸音系統示意圖 Third: Schematic diagram of a full-frequency and tuning hybrid sound absorbing system of a second preferred embodiment (hybrid B-type sound absorbing panel) of the present invention

第四圖:本發明其三較佳實施例(混合C型吸音板)之全頻暨調音混合型吸音系統示意圖 Fourth: Schematic diagram of a full-frequency and tuning hybrid sound absorbing system of the three preferred embodiments (mixed C-type sound absorbing panels) of the present invention

第五圖:本發明其四較佳實施例(混合D型吸音板)之全頻暨調音混合型吸音系統示意圖 Fifth: Schematic diagram of a full-frequency and tuning hybrid sound absorbing system of four preferred embodiments (hybrid D-type sound absorbing panels) of the present invention

第六圖:本發明其五較佳實施例(單層吸音板)之全頻暨調音混合型吸音系統示意圖 Figure 6 is a schematic diagram of a full frequency and tuning hybrid sound absorbing system of a fifth preferred embodiment (single layer sound absorbing panel) of the present invention

第七圖:本發明其六較佳實施例(雙層吸音板)之全頻暨調音混合型吸音系統示意圖 Figure 7 is a schematic diagram of a full-frequency and tuned hybrid sound absorbing system of a sixth preferred embodiment (double-layer sound absorbing panel) of the present invention

第八圖:本發明其七較佳實施例(三層吸音板)之全頻暨調音混合型吸音系統示意圖 Figure 8 is a schematic diagram of a full-frequency and tuning hybrid sound absorbing system of a seventh preferred embodiment (three-layer sound absorbing panel) of the present invention

第九圖:本發明其八較佳實施例具一調音管之全頻暨調音混合型吸音系統示意圖 Ninth aspect: a schematic diagram of a full-frequency and tuning hybrid sound absorbing system with a tuning tube according to an eighth preferred embodiment of the present invention

第十圖:本發明其九較佳實施例具二調音管之全頻暨調音混合型吸音系統示意圖 FIG. 10 is a schematic diagram of a full-frequency and tuning hybrid sound absorbing system with two tuning tubes according to a preferred embodiment of the present invention;

第十一圖:本發明其十較佳實施例具二調音管之全頻暨調音混合型吸音系統示意圖 Eleventh drawing: a schematic diagram of a full-frequency and tuned hybrid sound absorbing system with two tuning tubes according to a tenth preferred embodiment of the present invention

第十二圖:本發明其十一較佳實施例具二調音管之全頻暨調音混合型吸音系統示意圖 Twelfth Embodiment: Schematic diagram of a full-frequency and tuned hybrid sound absorbing system with two tuning tubes according to an eleventh preferred embodiment of the present invention

第十三圖:本發明其十二較佳實施例具三調音管之全頻暨調音混合型吸音系統示意圖 Thirteenth Diagram: Schematic diagram of a full-frequency and tuning hybrid sound absorbing system with three tuning tubes according to a twelve preferred embodiment of the present invention

第十四圖:本發明其十三較佳實施例具三調音管之全頻暨調音混合型吸音系統示意圖 Figure 14 is a schematic diagram of a full-frequency and tuned hybrid sound absorbing system with three tuning tubes in accordance with a thirteenth preferred embodiment of the present invention

第十五圖:本發明其十四較佳實施例具三調音管之全頻暨調音混合型吸音系統示意圖 Fifteenth Figure: Schematic diagram of a full-frequency and tuned hybrid sound absorbing system with three tuning tubes according to a fourteenth preferred embodiment of the present invention

(S1)‧‧‧步驟一 (S1)‧‧‧Step one

(S2)‧‧‧步驟二 (S2)‧‧‧Step 2

(S3)‧‧‧步驟三 (S3) ‧ ‧ Step 3

(S4)‧‧‧步驟四 (S4)‧‧‧Step four

(S5)‧‧‧步驟五 (S5) ‧ ‧ step five

(S6)‧‧‧步驟六 (S6) ‧‧‧Step six

(S7)‧‧‧步驟七 (S7) ‧‧‧Step seven

Claims (11)

一種以粒子群法最佳化吸音板結構之方法,其包括下列步驟:步驟一:建構一個全頻暨調音混合型吸音系統,該全頻暨調音混合型吸音系統以粒子群法進行最佳化運算時,所需參數係為全頻暨調音混合型吸音系統之各元件形狀、配置及其材料性質;步驟二:定義該全頻暨調音混合型吸音系統最佳化之後欲達成之目標;步驟三:提供該目標最佳設計策略之目標函數;步驟四:提供該參數之資源限制式;步驟五:初始化該參數,並將該參數編碼以產生粒子之初始位置與初始速度;步驟六:將粒子代入該目標函數求解,以獲得粒子之目標函數適應值(fitness value),比較該目標函數適應值與該粒子所搜尋過的最佳目標函數適應值;以及步驟七:若群體最佳值誤差小於或等於一預設最小值或迭代次數到達一預設次數時,運算結束;反之再重複進行步驟六。 A method for optimizing a structure of a sound absorbing panel by a particle group method, comprising the following steps: Step 1: constructing a full frequency and tuning mixed sound absorbing system, and optimizing the full frequency cum tuning sound absorbing system by particle swarm optimization In the calculation, the required parameters are the shape, configuration and material properties of the components of the full-frequency and tuning hybrid sound absorbing system; Step 2: Define the target to be achieved after the optimization of the full-frequency and tuning hybrid sound absorbing system; Third: provide the objective function of the best design strategy for the target; Step 4: Provide the resource limit of the parameter; Step 5: Initialize the parameter and encode the parameter to generate the initial position and initial velocity of the particle; Step 6: The particle is substituted into the objective function to obtain the objective function fitness value of the particle, and the fitness value of the objective function is compared with the optimal objective function value searched by the particle; and step 7: if the group optimal value error When less than or equal to a preset minimum value or the number of iterations reaches a preset number of times, the operation ends; otherwise, step 6 is repeated. 如申請專利範圍第1項所述之以粒子群法最佳化吸音板結構之方法,其中該最佳目標函數適應值係為該粒子個體所擁有的個體最佳值(personal best value,pbest)與群體最佳值(global best v alue,gbest)。 The method for optimizing the structure of the sound absorbing panel by the particle group method according to the first aspect of the patent application, wherein the optimal objective function adaptation value is a personal best value (pbest) possessed by the individual particle. Best value with group (global best v Alue, gbest). 如申請專利範圍第1項所述之以粒子群法最佳化吸音板結構之方法,其中該全頻暨調音混合型吸音系統係以一維平面波理論及荷姆霍茲(Helmholtz)共鳴腔之音響阻抗為基礎建構。 The method for optimizing the structure of the sound absorbing panel by the particle group method according to the first aspect of the patent application, wherein the full frequency and tuning mixed sound absorbing system is based on a one-dimensional plane wave theory and a Helmholtz resonance chamber. The acoustic impedance is based on the construction. 如申請專利範圍第1項所述之以粒子群法最佳化吸音板結構之方法,其中該目標函數包括有最大化吸音率(sound absorption coefficient)或最小化聲音功率位準(sound power level,SWL)其中之一。 A method for optimizing a sound absorbing panel structure by a particle swarm method as described in claim 1, wherein the objective function includes maximizing a sound absorption coefficient or minimizing a sound power level. SWL) one of them. 如申請專利範圍第1項所述之以粒子群法最佳化吸音板結構之方法,其中該全頻暨調音混合型吸音系統係以複數個承板以及與該承板連接之複數個沖孔板所構成,其中該等承板界定出至少一個具開口之調音共鳴腔,該沖孔板與該等承板形成至少一吸音體。 The method for optimizing the structure of the sound absorbing panel by the particle group method according to the first aspect of the patent application, wherein the full frequency cum tuning sound absorbing system is a plurality of gussets and a plurality of punching holes connected to the slab The plates are constructed, wherein the plates define at least one tuning resonance chamber having an opening, and the punching plate forms at least one sound absorbing body with the receiving plates. 如申請專利範圍第5項所述之以粒子群法最佳化吸音板結構之方法,其中該沖孔板之孔洞進一步設有至少一調音管。 The method for optimizing the structure of the sound absorbing panel by the particle group method according to the fifth aspect of the patent application, wherein the hole of the punching plate is further provided with at least one tuning tube. 如申請專利範圍第5項所述之以粒子群法最佳化吸音板結構之方法,其中該調音共鳴腔設有至少一層吸音棉。 A method for optimizing a sound absorbing panel structure by a particle group method according to claim 5, wherein the tuning resonance chamber is provided with at least one layer of sound absorbing cotton. 如申請專利範圍第5項所述之以粒子群法最佳化吸音板結構之方法,其中該吸音體設有至少一層吸音棉。 A method for optimizing a sound absorbing panel structure by a particle group method according to claim 5, wherein the sound absorbing body is provided with at least one layer of sound absorbing cotton. 如申請專利範圍第5至8中任意一項所述之以粒子群法最佳 化吸音板結構之方法,其中該全頻暨調音混合型吸音系統之元件形狀參數係選自沖孔內徑、沖孔板厚度、沖孔板開口率以及吸音棉厚度所構成之群組。 The best particle group method as described in any one of claims 5 to 8. The method for absorbing the structure of the sound absorbing panel, wherein the component shape parameter of the full frequency cum tuning mixing type sound absorbing system is selected from the group consisting of a punching inner diameter, a punching plate thickness, a punching plate opening ratio, and a sound absorbing cotton thickness. 如申請專利範圍第5至8中任意一項所述之以粒子群法最佳化吸音板結構之方法,其中該全頻暨調音混合型吸音系統之元件配置參數係選自空氣層厚度、調音共鳴腔頸直徑、調音共鳴腔頸長度、共鳴腔體積所構成之群組。 The method for optimizing the structure of the sound absorbing panel by the particle group method according to any one of claims 5 to 8, wherein the component configuration parameter of the full frequency cum tuning mixing type sound absorbing system is selected from the group consisting of air layer thickness and tuning. The group consisting of the diameter of the resonance chamber neck, the length of the tuning resonance chamber neck, and the volume of the resonance chamber. 如申請專利範圍第5至8中任意一項所述之以粒子群法最佳化吸音板結構之方法,其中該全頻暨調音混合型吸音系統之元件材料性質參數係包括有吸音棉流阻抗。 The method for optimizing a sound absorbing panel structure by a particle group method according to any one of claims 5 to 8, wherein the component material property parameter of the full frequency and tuning hybrid sound absorbing system comprises a sound absorbing cotton flow impedance. .
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