Water wave energy gathering building structure based on quasi-periodic structure

Abstract

This invention discloses a water wave energy-concentrating building structure based on a quasi-periodic structure in the field of water wave energy application technology, aiming to solve the problem of ineffective collection of ocean wave energy in existing technologies. It includes an integral structure arranged in a quasi-periodic sequence; the integral structure is formed by splicing together a first quasi-periodic structure and a second quasi-periodic structure with the same bandgap, used to form an interface state at the splicing point of the liquid surface wave to be concentrated when the first and second quasi-periodic structures achieve impedance matching; the first and second quasi-periodic structures are both formed by sequentially arranging first and second block structures of different heights in a quasi-periodic sequence. This invention is applicable to ocean water wave regulation and collection, and can collect ocean wave energy through localized wave collection of topological interface states achieved by the quasi-periodic structure, which is beneficial to improving the collection efficiency of renewable energy.

Description

Technical Field

[0001] This invention relates to the field of water wave energy application technology, and in particular to a water wave energy-concentrating building structure based on a quasi-periodic structure. Background Technology

[0002] With the rapid development of artificial materials, quasi-periodic structures have become a research hotspot in many fields such as condensed matter physics, materials science, and crystallography. Compared with periodic structures, quasi-periodic structures possess long-range order and short-range disorder, making them important systems with rich topological features. Therefore, the waveguide modes, spectral band structures, and acoustic field distributions in quasi-periodic structures are also highly complex, resulting in many superior physical properties not found in periodic structures. Under impedance matching conditions, topological interface states are robust to small defects and exhibit high energy concentration at the interface, which has potential and promising value in engineering applications.

[0003] The unique properties of topological interface states have attracted numerous researchers to explore them in various fields, such as photonic and phononic crystals, and to conduct extensive structural designs and a range of applied studies. Existing research has revealed the existence of topological interface states at the contact interface of metamaterials with different topological properties but a common bandgap. This special topological transport mode exhibits robustness and the concentration of wave energy at the interface.

[0004] Unlike other physical waves, surface waves in liquids are easier to observe with the naked eye, which helps us understand the interaction between waves and structures and their potential applications. Vast reserves of water wave energy exist in nature. In recent years, ocean wave energy, as a renewable and clean energy source, has received increasing attention due to its high energy density and potential to effectively alleviate the energy crisis.

[0005] In existing technologies, traditional water wave energy-concentrating building structures based on periodic structures lack a rich variety of bandgap structures, making it difficult to control water waves in more frequency bands. The water wave energy collection efficiency is also low. Furthermore, quasi-periodic structures, which lie between ordered and disordered systems, have not been applied to shallow water wave systems. Compared to periodic structures, quasi-periodic structures have a richer variety of bandgap structures. Therefore, how to design a water wave energy-concentrating building structure based on quasi-periodic structures for shallow water wave regions has become a technical problem that urgently needs to be solved by those skilled in the art. Summary of the Invention

[0006] The purpose of this invention is to overcome the shortcomings of the prior art and provide a water wave energy-concentrating building structure based on a quasi-periodic structure, which can effectively localize liquid surface waves and improve the water wave energy collection efficiency.

[0007] To achieve the above objectives, the present invention provides a water wave energy-concentrating building structure based on a quasi-periodic structure, comprising an overall structure arranged in a quasi-periodic sequence; The overall structure is formed by splicing together a first quasi-periodic structure and a second quasi-periodic structure with the same band gap. When the first quasi-periodic structure and the second quasi-periodic structure achieve impedance matching, the liquid surface wave to be focused forms an interface state at the splicing point of the structure. Both the first quasi-periodic structure and the second quasi-periodic structure are formed by first block structures and second block structures of different heights arranged in a quasi-periodic sequence.

[0008] Optionally, the length and width of the first block structure and the second block structure are equal; The lengths of the first block structure and the second block structure are set according to design requirements.

[0009] Optionally, the width of the first block structure and the second block structure is 0.5 meters.

[0010] Optionally, the second quasi-periodic structure is a mirror-symmetric structure of the first quasi-periodic structure.

[0011] Optionally, the quasi-periodic sequence is a Fibonacci quasi-periodic sequence.

[0012] Optionally, the arrangement rule of the Fibonacci quasi-periodic sequence is as follows: the first block structure and the second block structure are denoted as A and B, respectively. A and B are fixed at the bottom of the water, and the distance from their tops to the water surface is the water depth, corresponding to water depths h, respectively. A and h B The recursive relationship of the overall structural arrangement of the nth generation Fibonacci quasi-periodic sequence is: when n > 2, S n =S （n-1） +S （n-2） ; In the formula, S n This represents the nth generation of the generated Fibonacci quasi-periodic sequence, where n is an algebraic number and a positive integer.

[0013] Optionally, as the algebra n of the Fibonacci quasi-periodic sequence increases, more interface states will be generated in the overall structure.

[0014] Compared with the prior art, the beneficial effects achieved by the present invention are as follows: This invention provides a water wave energy-concentrating building structure based on a quasi-periodic structure. It uses a Fibonacci quasi-periodic structure and its mirror image structure to form an integral structure. The integral structure uses the different heights of its block structures to change the water depth in different areas, thereby controlling the surface waves of the liquid. When the conditions for the existence of the interface state are met, an interface state is formed at the connection between the first quasi-periodic structure and the second quasi-periodic structure, so that the amplitude at the connection reaches the maximum value, realizing the convergence of water wave energy, which is conducive to the collection of renewable clean energy.

[0015] This invention controls the number of interface states formed in the overall structure by adjusting the algebra n of the Fibonacci quasi-periodic sequence to meet different needs.

[0016] This invention provides a water wave energy-concentrating building structure based on a quasi-periodic structure. Due to the rich bandgap structure of the quasi-periodic structure, it is simpler in structure, easier to implement and more adaptable than traditional energy-concentrators based on periodic structures. Attached Figure Description

[0017] Figure 1 The figure shown is an overall structural schematic diagram of a water wave energy-concentrating building structure based on a quasi-periodic structure provided by the present invention. Figure 2 The diagram shown is a structural schematic of the first block structure gap in one embodiment of the present invention; Figure 3 The figure shown is a schematic diagram of the experimental simulation of a missing first block structure in one embodiment of the present invention; Figure 4 The image shown is a schematic diagram of the transmission spectrum of the first quasi-periodic structure and the overall structure of the seventh-generation Fibonacci quasi-periodic sequence in one embodiment of the present invention. Figure 5 The figure shown is a schematic diagram of water wave energy distribution under the action of the ninth generation Fibonacci quasi-periodic sequence in one embodiment of the present invention. In the diagram: 1-First quasi-periodic structure; 2-Second quasi-periodic structure; 3-Overall structure; 4-Water surface; 5-Water bottom; 6-Water; 101-First block structure; 102-Second block structure. Detailed Implementation

[0018] The present invention will be further described below with reference to the accompanying drawings. The following embodiments are only used to more clearly illustrate the technical solution of the present invention, and should not be used to limit the scope of protection of the present invention.

[0019] The technical concept of this invention is as follows: Considering the vast reserves of water wave energy resources in nature, and given that ocean wave energy, as a renewable and clean energy source, has high energy density and can effectively alleviate the energy crisis, it has received increasing attention in recent years. Therefore, this invention designs a water wave energy-concentrating building structure based on a quasi-periodic structure to regulate liquid surface waves. This allows for the localization of ocean wave energy collection through the topological interface states achieved by the quasi-periodic structure, which is beneficial for the collection of renewable and clean energy. Example 1

[0020] refer to Figure 1 This invention provides a water wave energy-concentrating building structure based on a quasi-periodic structure, characterized in that it includes an overall structure arranged in a quasi-periodic sequence; The overall structure is formed by splicing together a first quasi-periodic structure 1 and a second quasi-periodic structure 2 with the same band gap. When the first quasi-periodic structure 1 and the second quasi-periodic structure 2 achieve impedance matching, the liquid surface wave to be focused forms an interface state at the splicing point of the structure. The first quasi-periodic structure 1 and the second quasi-periodic structure 2 are both formed by first block structures 101 and second block structures 102 of different heights arranged in a quasi-periodic sequence.

[0021] The water wave energy-concentrating building structure based on a quasi-periodic structure provided in this invention uses a Fibonacci quasi-periodic structure and its mirror image structure to form an integral structure. The integral structure uses the different heights of its own block structures to change the water depth in different areas, thereby enabling the regulation of liquid surface waves. When the conditions for the existence of an interface state are met, an interface state is formed at the connection between the first quasi-periodic structure 1 and the second quasi-periodic structure 2, thereby concentrating water wave energy at the connection point, reaching the maximum amplitude value, and realizing water wave energy concentration, which is beneficial for the collection of renewable clean energy. Example 2

[0022] refer to Figure 1 Based on Example 1, the present invention has been further designed as follows.

[0023] This invention provides a water wave energy-concentrating building structure based on a quasi-periodic structure, characterized by comprising an overall structure arranged in a quasi-periodic sequence; Furthermore, the quasi-periodic sequence used in this embodiment of the invention is a Fibonacci quasi-periodic sequence, specifically a seventh-generation Fibonacci quasi-periodic sequence. The overall structure is formed by splicing together a first quasi-periodic structure 1 and a second quasi-periodic structure 2 with the same band gap. When the first quasi-periodic structure 1 and the second quasi-periodic structure 2 achieve impedance matching, the liquid surface wave to be focused forms an interface state at the splicing point of the structure. Specifically, the first quasi-periodic structure 1 is located on the left side, and the second quasi-periodic structure 2 is located on the right side, forming an axisymmetric structure, with the axis of symmetry being the joint of the structures.

[0024] The first quasi-periodic structure 1 and the second quasi-periodic structure 2 are both formed by first block structures 101 and second block structures 102 of different heights arranged in a quasi-periodic sequence.

[0025] In this embodiment, the first block structure 101 and the second block structure 102 with different heights are cuboid structures. The length and width of the first block structure 101 and the second block structure 102 are equal. The length of the first block structure 101 and the second block structure 102 is set according to design requirements. The width of the first block structure 101 and the second block structure 102 is 0.5 meters. The height h of the first block structure 101 and the second block structure 102 are different.

[0026] Furthermore, the overall structure is fixed to the bottom of the shallow water area.

[0027] During simulation, the first block structure 101 is denoted as A, and the second block structure 102 is denoted as B. A and B are fixed to the bottom of the water, and the distance from their tops to the water surface is the water depth, corresponding to depths h respectively. A and h B Assuming S1=A and S2=AB, according to the recursive relationship of the overall structure 3 arrangement of the nth generation Fibonacci quasi-periodic sequence: when n>2, S n =S （n-1） +S （n-2） ; In the formula, S n This represents the nth generation of the Fibonacci quasi-periodic sequence, where n is an algebraic number and a positive integer. Based on the recursive relationship of the overall structure 3, the recursion continues up to n=7, yielding the specific recursive process as follows: S1=A, S2=AB, S3 = S2 + S1 = ABA S4 = S3 + S2 = ABAAB; ...; S7 = S6 + S 5= ABAABABAABAABABAABABA; Based on the recursive result, the first quasi-periodic structure 1 is ABAABABAABAABABAABABA, and the second quasi-periodic structure 2 is a mirror image of the first quasi-periodic structure 1. Therefore, it is necessary to create 16 Bs and 26 As to combine and splice them together to form the overall structure 3.

[0028] Technical principle: When the first quasi-periodic structure 1 and the second quasi-periodic structure 2 are in a state where their impedances are equal in magnitude but opposite in sign, water waves are incident through the left end of the bottom-placed integral structure 3. The water wave energy-concentrating building structure forms an interface state at the structural splicing point. In this embodiment, the building structure will construct a system to control the interface state. In this system, the first quasi-periodic structure 1 on the left and the mirror structure on the right have the same bandgap, and the product of the left and right reflection coefficients is close to 1 at a certain frequency within the bandgap. Within the bandgap frequency range, water waves cannot pass through the bottom-placed first quasi-periodic structure 1 or its mirror structure, that is, no water waves pass through the output end. When the same water wave passes through the bottom-placed integral structure 3, there are water waves at the output end, and the water wave amplitude is the largest at the structural connection point, thus achieving the purpose of water wave energy convergence.

[0029] In this embodiment, by placing an overall structure, the water depth in different areas is changed by the first block structure 101 and the second block structure 102, so that the water wave can generate a topological interface state at the connection between the two structures (the middle of the overall structure) during propagation. The topological interface state can concentrate energy, that is, the water wave energy is concentrated. Example 3

[0030] refer to Figures 2 to 5 To simplify the structure, based on Embodiment 2, the present invention also has the following upgrade scheme.

[0031] In this embodiment, the position of the first block structure 101 is vacant, denoted as the vacant part (not shown in the figure because it is vacant), while the second block structure 102 is retained, denoted as B. During the experimental simulation, B is fixed to the bottom of the water, and the distance from its top to the water surface is the water depth, corresponding to water depths h. B The water depth corresponding to the vacancy is the actual water depth. In this embodiment, the vacancy and the second block structure 102 are arranged according to the seventh generation Fibonacci quasi-periodic sequence to finally form the overall structure 3.

[0032] During the simulation, the position of the first block structure 101 is left vacant, and the second block structure 102 is arranged and fixed on the bottom of the water according to the seventh generation Fibonacci quasi-periodic sequence. Assuming the actual overall water depth is 0.6 meters, the actual water depth of the vacant part is 0.6 meters; the height of the second block structure 102 is set to 0.5 meters, therefore the corresponding water depth h is... B It is 0.1 meters; The recursive principle of the overall structure 3 arrangement is the same as that of the Fibonacci quasi-periodic sequence in Example 2. Therefore, it is necessary to make 16 second block structures 102 and their corresponding 26 empty parts to combine and splice them to form the overall structure 3.

[0033] like Figure 4As shown, the above embodiment was used to simulate this structure. The simulation results from COMSOL Multiphysics software show that the first bandgap of the overall structure 3 after combining the seventh-generation Fibonacci quasi-periodic sequences has a very sharp transmission peak. This peak indicates the presence of an interface state in the first bandgap, which was originally located in the bandgap of the first quasi-periodic structure 1. This means that although liquid surface waves cannot pass through the first quasi-periodic structure 1 or its mirror image, they can pass through the newly combined overall structure. Therefore, it can be concluded that at a frequency of 0.453Hz, the overall structure after combining the seventh-generation Fibonacci quasi-periodic sequences can achieve surface wave localization at the interface state, and the combined overall structure 3 exhibits a greater attenuation of the wave than the first quasi-periodic structure 1.

[0034] like Figure 4 As shown, the horizontal axis represents the distance of the water wave from the incident end of the structure, in meters; the vertical axis represents the width of the structure, in meters; the upper left corner shows the result obtained at a certain frequency; and the right-hand box represents the amplitude generated by the water wave, with different shades of color corresponding to different amplitudes.

[0035] To enhance the wave energy focusing effect, this embodiment of the invention also employs a ninth-generation Fibonacci quasi-periodic sequence for numerical simulation of wave energy focusing. During the simulation, water waves are incident from the left end of the overall structure 3, pass through the overall structure 3 formed by splicing the first quasi-periodic structure 1 of the ninth-generation Fibonacci quasi-periodic sequence and its mirror image, and exit from the right end of the overall structure 3. Numerical simulation shows that when the water wave frequency is 0.334 Hz, the area near the connection point of the first quasi-periodic structure 1 and its mirror image (e.g., ...) Figure 5 (within the structural selection area), the water wave vibration amplitude reaches its maximum value, approximately 6.49, while at the incident end of the overall structure (such as...) Figure 5 (At the point marked by the arrow) The amplitude is approximately 1.98, indicating that the maximum amplitude of the converging water waves is about 3.27 times that of the incident end.

[0036] It should be noted that the algebra n of the Fibonacci quasi-periodic sequence can be adjusted to control water waves of different wavelengths. The larger the algebra n is, the more interface states appear in the overall structure 3, which can localize water wave energy in more different frequency bands. It should be noted that the embodiments of the present invention can also be flexibly designed with different lengths L, different widths d, and different heights h. A and h B The overall structure 3 is designed to meet different water wave energy concentration requirements.

[0037] In summary, this invention provides a water wave focusing building structure based on a quasi-periodic structure, which effectively localizes liquid surface waves, facilitating the collection of renewable clean energy. The structure is simple, easy to implement, and highly adaptable. Compared to traditional focusers based on periodic structures, the quasi-periodic structure's rich bandgap structure allows for the manipulation of water waves across more frequency bands. Furthermore, different frequencies of water waves can be algebraically controlled by manipulating the Fibonacci quasi-periodic sequence to meet the focusing requirements of water waves in different frequency bands.

[0038] The embodiments of the present invention have been described above with reference to the accompanying drawings. However, the present invention is not limited to the specific embodiments described above. The specific embodiments described above are merely illustrative and not restrictive. Those skilled in the art can make many other forms under the guidance of the present invention without departing from the spirit and scope of the claims. All of these forms are within the protection scope of the present invention.

Claims

1. A water wave energy-concentrating building structure based on a quasi-periodic structure, characterized in that, This includes the overall structure arranged according to a quasi-periodic sequence; The overall structure is formed by splicing together a first quasi-periodic structure and a second quasi-periodic structure with the same band gap. When the first quasi-periodic structure and the second quasi-periodic structure achieve impedance matching, the liquid surface wave to be focused forms an interface state at the splicing point of the structure. Both the first quasi-periodic structure and the second quasi-periodic structure are formed by arranging first block structures and second block structures of different heights in a quasi-periodic sequence. The quasi-periodic sequence is a Fibonacci quasi-periodic sequence. The arrangement rule of the Fibonacci quasi-periodic sequence is as follows: the first block structure and the second block structure are denoted as A and B, respectively. A and B are fixed at the bottom of the water, and the distance from their tops to the water surface is the water depth, corresponding to water depths h. A and h B The recursive relationship of the overall structural arrangement of the nth generation Fibonacci quasi-periodic sequence is: when n > 2, S n =S （n-1） +S （n-2） ; In the formula, S n This represents the nth generation of the generated Fibonacci quasi-periodic sequence, where n is an algebraic number and a positive integer.

2. The water wave energy-concentrating building structure based on a quasi-periodic structure according to claim 1, characterized in that, The length and width of the first block structure and the second block structure are equal; The lengths of the first block structure and the second block structure are set according to design requirements.

3. The water wave energy-concentrating building structure based on a quasi-periodic structure according to claim 2, characterized in that, The width of the first block structure and the second block structure is 0.5 meters.

4. The water wave energy-concentrating building structure based on a quasi-periodic structure according to claim 1, characterized in that, The second quasi-periodic structure is a mirror-symmetric structure of the first quasi-periodic structure.

5. The water wave energy-concentrating building structure based on a quasi-periodic structure according to claim 1, characterized in that, As the algebra n of the Fibonacci quasi-periodic sequence increases, more interface states will be generated in the overall structure.

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