JPH08201218A - Wave generation apparatus - Google Patents

Wave generation apparatus

Info

Publication number
JPH08201218A
JPH08201218A JP2720395A JP2720395A JPH08201218A JP H08201218 A JPH08201218 A JP H08201218A JP 2720395 A JP2720395 A JP 2720395A JP 2720395 A JP2720395 A JP 2720395A JP H08201218 A JPH08201218 A JP H08201218A
Authority
JP
Japan
Prior art keywords
wave
wave generation
making
distribution
amplitude
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP2720395A
Other languages
Japanese (ja)
Other versions
JP2741660B2 (en
Inventor
Minoru Hanzawa
稔 半沢
Akira Matsumoto
朗 松本
Tomoki Buniyou
智樹 豊饒
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Tetra Co Ltd
Original Assignee
Tetra Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Tetra Co Ltd filed Critical Tetra Co Ltd
Priority to JP7027203A priority Critical patent/JP2741660B2/en
Publication of JPH08201218A publication Critical patent/JPH08201218A/en
Application granted granted Critical
Publication of JP2741660B2 publication Critical patent/JP2741660B2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Landscapes

  • Aerodynamic Tests, Hydrodynamic Tests, Wind Tunnels, And Water Tanks (AREA)

Abstract

PURPOSE: To generate oblique regular waves showing a peak distribution of high uniformity in a direction of a ridge of the wave without utilizing reflecting waves from a side wall, by letting a signal generation device include an amplitude correction means which corrects a wave generation command signal so that amplitudes of cyclic movement of adjacent wave generation plates are made different. CONSTITUTION: A signal generation device S feeds to a control device C a wave generation command signal of a cycle and a phase difference preliminarily set in accordance with an aimed advancing direction of regular waves. In consequence, each driving device D reciprocates each wave generation plate P with the cycle and phase difference, whereby regular wave moving in the aimed direction diagonally to the front of an arrangement of the wave generation plates are generated by ridge lines formed by envelopes of waves generated by the wave generation plates P. An amplitude correction means is costituted by installing a signal correction program into a computer S. The amplitude of the wave generation command signal is corrected so that an amplitude value of the cyclic movement of the individual wave generation plate P shown a curve distribution in conformity to the Dolph-Chebyshev distribution with respect to an arranging direction of the wave generation plates.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】本発明は、複数の造波板による位
相差を有する周期運動によって造波板配列の前方に斜め
規則波を発生させるための造波装置に関するものであ
る。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a wave-making device for generating oblique regular waves in front of a wave-making plate array by a periodic motion having a phase difference caused by a plurality of wave-making plates.

【0002】[0002]

【従来の技術】例えば海洋構造物の水理試験のために構
造物の模型に対して試験水槽と造波装置を利用して任意
方向の規則波を作用させる場合、造波装置には、所望の
波面の規則波を目的の方向に送り出すことのできる機能
が要求される。このような目的で従来から多方向不規則
波の造波装置が用いられているが、その場合の多方向不
規則波は、一般的にはビーゼルのスネーク原理(F.Bies
el; Proceeding of 1stConference on Ships and Wave
s, p.288-304, 1954)に基づいて造波される。
2. Description of the Related Art For example, in the case of applying a regular wave in an arbitrary direction to a model of a structure for a hydraulic test of an offshore structure by using a test water tank and a wave-forming device, a desired wave-forming device is required. The function that can send out the regular wave of the wave front in the desired direction is required. For this purpose, a wave forming device for multidirectional random waves has been conventionally used, but the multidirectional random wave in that case is generally the bezel snake principle (F.Bies).
el; Proceeding of 1stConference on Ships and Wave
s, p.288-304, 1954).

【0003】即ち、多方向不規則波用の造波装置は、一
列に配列された複数の造波板と、各造波板を個々に駆動
する駆動装置と、駆動装置による各造波板の周期運動を
制御する制御装置と、互いに隣接する造波板の周期運動
に位相差を与えるよう予め定められた造波指令信号を前
記制御装置に与える信号発生装置とを備えており、隣接
する造波板に位相差を与えて運転することにより、ホイ
ヘンスの原理に従って各造波板から生じる波の包絡線で
形成される波峰線によって前記造波板配列の斜め前方に
向かう規則波を発生させることができる。
That is, a wave forming device for a multi-directional irregular wave is composed of a plurality of wave forming plates arranged in a row, a driving device for individually driving each wave forming plate, and a wave forming plate for each wave forming plate by the driving device. A controller for controlling the periodic motion and a signal generator for imparting a predetermined wave-making command signal to the controller to give a phase difference to the periodic motions of the wave-making plates adjacent to each other are provided. Generating a regular wave diagonally forward of the wave plate array by a wave peak formed by the envelope of the waves generated from each wave plate according to Huygens' principle by operating the wave plate with a phase difference. You can

【0004】[0004]

【発明が解決しようとする課題】しかしながら、従来の
造波装置では運転中の各造波板の振幅を一定に保ってい
るため、スネーク原理に従って斜め規則波を造波する
と、発生される斜め規則波の波高は、回折の影響が小さ
い造波板近傍でさえも波の稜線方向で変動を示し、造波
板から5m程度離れた位置では目標とする波高に対して
±20%を超える波高振幅変動が含まれることも稀では
なく、しかもこの変動は個々の造波板の幅を無限小とし
た場合でも消すことはできないことが解析されている
(T.Takayama;Report of PHRI, Vol.21, No.2, p.3-48,
1982)。
However, in the conventional wave-making device, since the amplitude of each wave-making plate in operation is kept constant, when the oblique regular wave is generated according to the snake principle, the oblique regular wave generated is generated. The wave height of the wave changes along the ridge direction of the wave even near the wave-making plate where the influence of diffraction is small, and at a position about 5 m away from the wave-making plate, the wave height exceeds ± 20% of the target wave height. It is not uncommon for variations to be included, and it has been analyzed that these variations cannot be eliminated even if the width of each corrugated sheet is made infinite (T.Takayama; Report of PHRI, Vol.21. , No.2, p.3-48,
1982).

【0005】このように、斜め規則波の波高は稜線方向
で一様とならない。そのため、多数の斜め規則波を重ね
合わせることにより得られる多方向不規則波の方向分布
特性は水槽内の位置によって変化することがある(T.Ta
kayama and T.Hiraishi; Report of PHRI, Vol.28, No.
4, p.3-24, 1989 )。その結果、水理実験の精度が不十
分となるので、水理現象の精密な検討には多大な困難を
伴うこととなっている。
As described above, the wave height of the oblique regular wave is not uniform in the ridge direction. Therefore, the directional distribution characteristics of multidirectional random waves obtained by superimposing a large number of oblique regular waves may change depending on the position in the tank (T.Ta.
kayama and T. Hiraishi; Report of PHRI, Vol.28, No.
4, p.3-24, 1989). As a result, the accuracy of hydraulic experiments becomes insufficient, and it is extremely difficult to study hydraulic phenomena precisely.

【0006】この問題を是正するために、造波機の両端
に設けた反射板からの反射波を利用した造波方式が提案
されている。例えば、緩勾配方程式を用いた定式化によ
るダーリンプルの方法(R.A.Darlymple; Journal of Hy
draulic Research, Vol.27,No.1, p.23-34, 1989 )で
は、造波板に平行な任意の断面で所望の斜め規則波を得
ることができるので、この方法を重ね合わせた多方向不
規則波の造波を行うことも考えられる。しかしながら、
これらの完全反射側壁からの反射波の利用を前提とした
方法は、試験水槽のように模型からの反射波が側壁で再
反射し、この再反射が問題となる場合には現実に利用す
ることはできない。
In order to correct this problem, there has been proposed a wave-making method using reflected waves from the reflection plates provided at both ends of the wave-making machine. For example, the method of Darlingple by the formulation using the gentle gradient equation (RADarlymple; Journal of Hy
draulic Research, Vol.27, No.1, p.23-34, 1989), it is possible to obtain a desired oblique regular wave at any cross section parallel to the wave-making plate. It is also conceivable to make a directional irregular wave. However,
The method premised on the use of reflected waves from these completely reflecting sidewalls should be used when the reflected waves from the model are re-reflected on the sidewalls, such as in a test tank, and this re-reflection is a problem. I can't.

【0007】海岸・海洋構造物の合理的な設計のために
は精度の高い水理実験データの解析が必要不可欠であ
り、従って本発明で課題とするところは、前述の従来技
術における問題点に鑑み、既存の多方向不規則波用造波
装置の設備を利用した場合であっても、従来から行われ
てきた側壁からの反射波を利用することなしに、波の稜
線方向に一様性の高い波高分布をもつ斜め規則波を発生
することのできる造波装置を提供することである。
Highly accurate analysis of hydraulic experiment data is indispensable for the rational design of coastal and offshore structures. Therefore, the problem to be solved by the present invention lies in the problems in the above-mentioned prior art. In view of this, even when using the equipment of the existing multi-directional wave generator for irregular waves, the uniformity in the ridge direction of the wave is achieved without using the reflected wave from the side wall that has been conventionally performed. It is an object of the present invention to provide a wave making device capable of generating an oblique regular wave having a high wave height distribution.

【0008】[0008]

【課題を解決するための手段】本発明による造波装置
は、一列に配列された複数の造波板と、各造波板を個々
に駆動する駆動装置と、駆動装置による各造波板の周期
運動を制御する制御装置と、互いに隣接する造波板の周
期運動に位相差を与えるように予め定められた造波指令
信号を前記制御装置に与える信号発生装置とを備えた多
方向不規則波用の造波装置であって、特に前記造波板配
列の斜め前方に一様性の高い波高分布を持つ斜め規則波
を発生させるために、隣接する造波板の周期運動の振幅
を互いに異ならしめるように前記造波指令信号を補正す
る振幅補正手段が信号発生装置に含まれていることを特
徴とするものである。
SUMMARY OF THE INVENTION A wave-making device according to the present invention comprises a plurality of wave-making plates arranged in a row, a drive device for individually driving each wave-making plate, and a drive device for each wave-making plate. A multi-directional irregularity comprising a control device for controlling the periodic motion and a signal generator for providing the control device with a predetermined wave-making command signal so as to give a phase difference to the periodic motions of the wave-making plates adjacent to each other. A wave forming device for waves, in particular, in order to generate an oblique regular wave having a highly uniform wave height distribution obliquely forward of the wave plate array, the amplitudes of the periodic motions of adjacent wave plates are mutually It is characterized in that the signal generator includes an amplitude correcting means for correcting the wave forming command signal so as to make them different from each other.

【0009】[0009]

【作用】多方向不規則波用の造波装置では、隣接する造
波板に位相差を与えて運転することにより、ホイヘンス
の原理に従って各造波板から生じる波の包絡線で形成さ
れる波峰線によって前記造波板配列の斜め前方に向かう
規則波を発生させることができることは周知の通りであ
る。この場合、水槽の一辺に沿って均一なピッチで一列
に配列された複数の造波板は駆動装置によって個々に往
復周期運動され、この駆動装置による各造波板の周期運
動は制御装置によって制御される。信号発生装置は、互
いに隣接する造波板の周期運動に位相差を与えるように
予め定められた造波指令信号を前記制御装置に与え、こ
れにより駆動装置がスネーク原理に基づいて各造波板を
予め定められた位相差で周期運動させ、各造波板から生
じる波の包絡線で形成される波峰線によって前記造波板
配列の斜め前方に前記位相差で定まる所定方向に向かう
斜め規則波を発生させる。
In the wave making device for multi-directional irregular waves, the wave peaks formed by the envelope of the waves generated from each wave making plate according to Huygens' principle by operating the adjacent wave making plates with a phase difference. It is well known that a line can generate a regular wave diagonally forward of the wave making plate array. In this case, the plurality of wave-making plates arranged in a row at a uniform pitch along one side of the water tank are individually reciprocating cyclically moved by the driving device, and the periodical motion of each wave-making plate by the driving device is controlled by the control device. To be done. The signal generator gives a predetermined wave-making command signal to the control device so as to give a phase difference to the periodic motion of the wave-making plates adjacent to each other, whereby the drive device makes each wave-making plate based on the snake principle. Is periodically moved with a predetermined phase difference, and an oblique regular wave traveling in a predetermined direction defined by the phase difference is obliquely forward of the wave plate array by a wave crest line formed by the envelope of waves generated from each wave plate. Generate.

【0010】本発明では、電磁波を空間に放射するアレ
イアンテナの指向性の合成理論からの類推により各造波
板の振幅の補正を与え、補正された造波板の運動により
造波される斜め規則波の波高分布に一様性をもたせるも
のである。このために本発明による造波装置の信号発生
装置は、隣接する造波板の振幅を互いに異ならしめるよ
うに前記造波指令信号を補正する振幅補正手段を含んで
いる。
In the present invention, the amplitude of each wave-making plate is corrected by analogy with the analogy from the synthesis theory of the directivity of the array antenna that radiates electromagnetic waves into the space, and the wave-shaping is performed by the corrected motion of the wave-making plate. The height distribution of regular waves has uniformity. To this end, the signal generator of the wave-making device according to the present invention includes amplitude correction means for correcting the wave-making command signal so as to make the amplitudes of the adjacent wave-making plates different from each other.

【0011】この場合、個々の造波板の周期運動の振幅
は、例えば配列の中央の造波板の振幅を基準とする相対
振幅の値が前記配列方向に関して予め定められた曲線分
布となるように定められ、この曲線分布は、好ましくは
ドルフ・チェビシェフ分布である。ドルフ・チェビシェ
フ分布はアレイアンテナの指向性合成理論ではよく知ら
れており(例えば、C.L.Dolph; "A Current Distributi
on for Broadside Arrays which Optimizes the Relati
onship between Beam Width and Side-Lobe Level" Pro
ceeding of IRE, 34, No.6, p.335-348, 1946 、又は
J.D.Kraus; "Antennas"McGraw-Hill, p.162-175, 198
8)、本発明においては、アレイアンテナから放射され
る電磁波と多方向造波機により造波される斜め波とが、
いずれも定常問題として取り扱う場合にはヘルムホルツ
微分方程式で記述されることから、これらの間の現象の
類似性に着目し、指向性合成理論を斜め規則波の造波理
論に新たに応用したものである。
In this case, the amplitude of the periodic motion of each wave-making plate is such that the value of the relative amplitude with respect to the amplitude of the wave-making plate at the center of the array has a predetermined curve distribution with respect to the array direction. This curve distribution is preferably the Dolph-Chebyshev distribution. The Dolph-Chebyshev distribution is well known in the directional synthesis theory of array antennas (for example, CLDolph; "A Current Distributi
on for Broadside Arrays which Optimizes the Relati
onship between Beam Width and Side-Lobe Level "Pro
ceeding of IRE, 34, No.6, p.335-348, 1946, or
JDKraus; "Antennas" McGraw-Hill, p.162-175, 198
8), in the present invention, the electromagnetic wave radiated from the array antenna and the oblique wave wave-formed by the multidirectional wave machine are
Since they are described by Helmholtz differential equations when they are treated as stationary problems, the directivity synthesis theory is newly applied to the theory of wave generation of oblique regular waves, paying attention to the similarity of phenomena between these. is there.

【0012】尚、本発明では、斜め規則波の発生に水槽
側壁からの反射波を利用しないことを前提としており、
従って、使用する水槽の側壁は消波構造とすることが好
ましい。
In the present invention, it is premised that the reflected wave from the side wall of the water tank is not used to generate the oblique regular wave.
Therefore, it is preferable that the side wall of the water tank used has a wave-dissipating structure.

【0013】[0013]

【実施例】図1に本発明の一実施例に係る造波装置の構
成を模式的に示す。図において、複数の造波板Pは図示
しない水槽の一辺に沿って均一なピッチで一列に配列さ
れ、各造波板Pはそれぞれ対応する駆動装置D(例えば
流体圧ピストンシリンダ装置などの往復駆動装置)によ
って個々に往復周期運動される。各駆動装置Dは固定架
台Fに支持されており、各駆動装置Dによる個々の造波
板Pの周期運動は、例えば流体圧制御ユニットなどから
なる制御装置Cによって統括的に制御される。
EXAMPLE FIG. 1 schematically shows the construction of a wave-making device according to an example of the present invention. In the figure, a plurality of wave-making plates P are arranged in a row along one side of a water tank (not shown) at a uniform pitch, and each wave-making plate P is associated with a corresponding drive device D (for example, reciprocating drive of a fluid pressure piston cylinder device or the like). Each device is reciprocally moved cyclically. Each drive device D is supported by a fixed mount F, and the periodic movement of each wave-making plate P by each drive device D is comprehensively controlled by a control device C which is, for example, a fluid pressure control unit.

【0014】制御装置Cに対する造波指令信号は、本実
施例ではパーソナルコンピュータで構成された信号発生
装置Sから与えられる。信号発生装置Sは、スネーク原
理に従って互いに隣接する造波板の周期運動に位相差が
生じるように、目標とする規則波の進行方向に応じて予
め定められた周期および位相差の造波指令信号を制御装
置Cに与え、これにより各駆動装置Dがスネーク原理に
基づいて各造波板Pを前記周期及び位相差で往復運動さ
せ、各造波板Pから生じる波の包絡線で形成される波峰
線によって造波板配列の斜め前方の目標方向へ向かう規
則波を発生させる。
The wave forming command signal to the control device C is given from the signal generating device S composed of a personal computer in this embodiment. The signal generator S generates a wave formation command signal having a predetermined period and phase difference according to the target traveling direction of the regular wave so that a phase difference occurs in the periodic motion of the adjacent wave forming plates according to the snake principle. To each control device C, whereby each drive device D reciprocates each wave-making plate P based on the snake principle with the above-mentioned cycle and phase difference, and is formed by the envelope of the wave generated from each wave-making plate P. A regular wave is generated by the wave peak line in a target direction diagonally ahead of the array of wave-making plates.

【0015】信号発生装置Sは、隣接する造波板Pの振
幅を互いに異ならしめるように前記造波指令信号を補正
する振幅補正手段を含んでおり、本実施例におけるこの
振幅補正手段は、信号補正プログラムをコンピュータS
にインストールすることによって構成しており、これに
よって個々の造波板Pの周期運動の振幅値(例えば配列
の中央の造波板の振幅を基準とする相対振幅の値)が造
波板の配列方向に関して後述のようにドルフ・チェビシ
ェフ分布に従った曲線分布となるように造波指令信号の
振幅が補正される。
The signal generator S includes an amplitude correction means for correcting the wave forming command signal so that the amplitudes of the adjacent wave forming plates P are made different from each other. Compensation program is computer S
The amplitude value of the periodic motion of each wave-making plate P (for example, the value of the relative amplitude with respect to the amplitude of the center wave-making plate of the array) is used to arrange the wave-making plates. With respect to the direction, the amplitude of the wave-forming command signal is corrected so that it has a curved distribution according to the Dolph-Chebyshev distribution as described later.

【0016】信号発生装置Sによる振幅補正の信号処理
にあたっては、以下に詳述するようにアレイアンテナの
指向性合成理論で知られるドルフ・チェビシェフ分布に
よって得られる無指向性アンテナの電流分布に相当する
振幅分布が、信号発生装置Sにインストールされた信号
補正プログラム(信号補正手段 )によって多方向不規則
波造波装置の各造波板Pの振幅分布に当て嵌められる。
The signal processing of the amplitude correction by the signal generator S corresponds to the current distribution of the omnidirectional antenna obtained by the Dolph-Chebyshev distribution known in the directivity synthesis theory of the array antenna, as will be described in detail below. The amplitude distribution is fitted to the amplitude distribution of each wave-making plate P of the multidirectional random wave-making device by a signal correction program (signal correction means) installed in the signal generator S.

【0017】アレイアンテナの指向性合成理論における
ドルフ・チェビシェフ分布の考え方に従い、チェビシェ
フ多項式を用いて最適分布を決定する方法をアレイアン
テナからの放射電磁界の場合で説明すると以下の通りで
ある。
The method of determining the optimal distribution using the Chebyshev polynomial in accordance with the concept of the Dolph-Chebyshev distribution in the directivity synthesis theory of the array antenna will be described below in the case of the electromagnetic field radiated from the array antenna.

【0018】即ち、多方向不規則波の造波装置における
個々の造波板は、リニアアレイアンテナの個々のアンテ
ナ素子に等価であると考えることができる。まず始めに
図2(a)に示すように、個数ne (偶数)の等方性の
点波源を一定間隔dで配列したリニアアレイを考え、全
ての点波源は同位相で励振されているものとし、目標放
射方向θがθ=0となる方向をアレイと直角な方向にと
る。個々の点波源の励振振幅を A0, A1, A2, ・・・とし、
その分布はアレイの中央に関して対称であるものとす
る。この場合のθ方向の遠方での放射電磁界は以下の数
1で表される。
That is, it can be considered that the individual wave-making plates in the multi-direction irregular wave making device are equivalent to the individual antenna elements of the linear array antenna. First, as shown in FIG. 2A, consider a linear array in which a number n e (even number) of isotropic point wave sources are arranged at a constant interval d, and all point wave sources are excited in the same phase. Assuming that the target radiation direction θ is θ = 0, the direction is perpendicular to the array. Let the excitation amplitude of each point source be A 0 , A 1 , A 2 ,.
The distribution shall be symmetrical about the center of the array. The radiation electromagnetic field in the distance in the θ direction in this case is expressed by the following mathematical expression 1.

【0019】[0019]

【数1】 Ene =2A0cos(ψ/2) + 2A1cos(3ψ/2) + ・・・・ +2Ak cos {(ne - 1)ψ/2}[Equation 1] En e = 2A 0 cos (ψ / 2) + 2A 1 cos (3ψ / 2) + ・ ・ ・ ・ + 2A k cos {(ne-1) ψ / 2}

【0020】ここに、ψは間隔dと波長λによって以下
の数2で表される。
Here, ψ is expressed by the following equation 2 by the distance d and the wavelength λ.

【0021】[0021]

【数2】ψ=(2πd/λ)sinθ = dr sin θ[Formula 2] ψ = (2πd / λ) sin θ = d r sin θ

【0022】数1の右辺の各項は、アレイの中央に関し
て対称の配置関係にある点波源の対による放射電磁界に
対応する。ここで、2(k + 1) = ne (但し k = 0, 1,
2, 3,・・・)と置くと、数1は、N= ne /2として以下の数
3のように書き換えられる。
Each term on the right side of Expression 1 corresponds to a radiation electromagnetic field generated by a pair of point wave sources that are symmetrically arranged with respect to the center of the array. Where 2 (k + 1) = n e (where k = 0, 1,
2, 3, ...), the formula 1 can be rewritten as the following formula 3 with N = n e / 2.

【0023】[0023]

【数3】 (Equation 3)

【0024】次に、図2(b)に示すように、奇数個数
no の等方性の点波源を同様に一定間隔dで配列したリ
ニアアレイを考える。この場合、アレイの中央の点波源
の励振振幅を 2A0とし、その分布はアレイの中央に関し
て対称であるものとする。この場合のθ方向の遠方での
放射電磁界は以下の数4で表される。
Next, as shown in FIG. 2B, consider a linear array in which an odd number no of isotropic point wave sources are similarly arranged at regular intervals d. In this case, the excitation amplitude of the point source in the center of the array is 2A 0 and its distribution is symmetrical with respect to the center of the array. The radiation electromagnetic field in the distance in the θ direction in this case is expressed by the following mathematical expression 4.

【0025】[0025]

【数4】 Eno = 2A0 + 2A1cosψ + 2A2cos2ψ + ・・・ +2Ak cos {(n0 - 1)ψ/2}[Equation 4] En o = 2A 0 + 2A 1 cos ψ + 2A 2 cos 2ψ + ・ ・ ・ + 2A k cos {(n 0-1 ) ψ / 2}

【0026】ここで、2k + 1 = no (但し k = 0, 1,
2, 3,・・・)と置くと、N = (no -1)/2として数4は以下の
数5のように書き換えられる。
Here, 2k + 1 = n o (where k = 0, 1,
2, 3, placing the ···), N = (n o -1) / 2 as the number 4 can be rewritten as the following Equation 5.

【0027】[0027]

【数5】 (Equation 5)

【0028】数3および数5は、以下に述べるように、
それぞれ次数 ne -1、 no -1の多項式となっている。即
ち、ド・モアブルの定理によれば次の数6が成立する。
Equations 3 and 5 are as described below.
It is a polynomial of degree n e -1, n o -1, respectively. That is, according to De Moabre's theorem, the following equation 6 is established.

【0029】[0029]

【数6】 (Equation 6)

【0030】ここで、mは次数であり、数6の実数部を
とると以下の数7の通りとなる。
Here, m is an order, and when the real part of the equation 6 is taken, the following equation 7 is obtained.

【0031】[0031]

【数7】 (Equation 7)

【0032】数7の右辺を二項級数に展開して以下の数
8を得る。
The right side of the equation 7 is expanded into a binomial series to obtain the following equation 8.

【0033】[0033]

【数8】 cos m(ψ/2) = cosm (ψ/2) - {m(m-1)/2! }cos m-2(ψ/2)sin2(ψ/2) +{m(m-1)(m-2)(m-3)/4! } cosm-4(ψ/2)sin4(ψ/2) - ・・・ ## EQU8 ## cos m (ψ / 2) = cos m (ψ / 2)-{m (m-1) / 2!} Cos m-2 (ψ / 2) sin 2 (ψ / 2) + {m (m-1) (m-2) (m-3) / 4!} cos m-4 (ψ / 2) sin 4 (ψ / 2)-・ ・ ・

【0034】数8において、 sin2(ψ/2) = 1-cos2
/2) と置くと、例えば次数m=4までについては以下の
数9のようになる。
In Equation 8, sin 2 (ψ / 2) = 1-cos 2
Putting / 2), for example, up to the order m = 4, it becomes the following Expression 9.

【0035】[0035]

【数9】 m = 0, cos m(ψ/2) = 1 m = 1, cos m(ψ/2) = cos(ψ/2) m = 2, cos m(ψ/2) = 2cos2(ψ/2) - 1 m = 3, cos m(ψ/2) = 4cos3(ψ/2) - 3 cos(ψ/2) m = 4, cos m(ψ/2) = 8cos4(ψ/2) - 8cos2(ψ/2) + 1 M = 0, cos m (ψ / 2) = 1 m = 1, cos m (ψ / 2) = cos (ψ / 2) m = 2, cos m (ψ / 2) = 2cos 2 ( ψ / 2)-1 m = 3, cos m (ψ / 2) = 4cos 3 (ψ / 2)-3 cos (ψ / 2) m = 4, cos m (ψ / 2) = 8cos 4 (ψ / 2)-8cos 2 (ψ / 2) + 1

【0036】ここで、x = cos(ψ/2) と置くと、数9は
以下の数10のようになる。
Here, if x = cos (ψ / 2) is set, the equation 9 becomes the following equation 10.

【0037】[0037]

【数10】m = 0, cos m(ψ/2) = 1 m = 1, cos m(ψ/2) = x m = 2, cos m(ψ/2) = 2x2 - 1 m = 3, cos m(ψ/2) = 4x3 - 3x m = 4, cos m(ψ/2) = 8x4 - 8x2 + 1Equation 10] m = 0, cos m (ψ / 2) = 1 m = 1, cos m (ψ / 2) = xm = 2, cos m (ψ / 2) = 2x 2 - 1 m = 3, cos m (ψ / 2) = 4x 3 - 3x m = 4, cos m (ψ / 2) = 8x 4 - 8x 2 + 1

【0038】数10はチェビシェフ多項式とよばれ、一
般式としては以下の数11のように表記される。
The expression 10 is called a Chebyshev polynomial, and is expressed as the following expression 11 as a general expression.

【0039】[0039]

【数11】Tm(x) = cos m(ψ/2)[Equation 11] Tm (x) = cos m (ψ / 2)

【0040】7次までのチェビシェフ多項式は以下の数
12の通りである。
The Chebyshev polynomials up to the 7th degree are as shown in the following Expression 12.

【0041】[0041]

【数12】T0(x) = 1 T1(x) = x T2(x) = 2x2 - 1 T3(x) = 4x3 - 3x T4(x) = 8x4 - 8x2 + 1 T5(x) = 16x5 - 20x3 + 5x T6(x) = 32x6 - 48x4 + 18x2 - 1 T7(x) = 64x7 - 112x5 + 56x3 - 7xEquation 12] T 0 (x) = 1 T 1 (x) = x T 2 (x) = 2x 2 - 1 T 3 (x) = 4x 3 - 3x T 4 (x) = 8x 4 - 8x 2 + 1 T 5 (x) = 16x 5 - 20x 3 + 5x T 6 (x) = 32x 6 - 48x 4 + 18x 2 - 1 T 7 (x) = 64x 7 - 112x 5 + 56x 3 - 7x

【0042】これらの多項式の次数はmであり、多項式
の根xは,cos m(ψ/2) = 0 あるいはm(ψ/2) = (2k -
1)π/2で与えられる。したがって根xをx’と書くと、
x’は以下の数13のように表される。
The degree of these polynomials is m, and the root x of the polynomial is cos m (ψ / 2) = 0 or m (ψ / 2) = (2k −
1) Given by π / 2. Therefore, if we write the root x as x ',
x ′ is represented as the following Expression 13.

【0043】[0043]

【数13】x’= cos{(2k - 1)π/2m }X '= cos {(2k-1) π / 2m}

【0044】以上でcos m(ψ/2) が次数mの多項式とな
ることが示された。数3および数5はcos m(ψ/2) の形
式の多項式の和となっているから、これらは次数2k+1お
よび2kの多項式で表現できることになり、偶数アレイに
ついては 2k + 1 = ne -1、奇数アレイについては 2k
=no - である。従って、放射電磁界の分布を表す数3及
び数5は、(点波源の数−1)次の多項式となる。数3
と数5を次数の等しい(つまりm=n−1)チェビシェ
フ多項式と等置し、係数を比較することにより得られる
アレイアンテナの振幅分布がドルフ・チェビシェフ分布
である。また、このときの放射電磁界の分布はn−1次
のチェビシェフ多項式で表されることになる。
It has been shown above that cos m (ψ / 2) is a polynomial of degree m. Since equations 3 and 5 are sums of polynomials of the form cos m (ψ / 2), they can be expressed by polynomials of degree 2k + 1 and 2k, and 2k + 1 = n for even arrays. e -1, 2k for odd arrays
= no- . Therefore, the equations 3 and 5 representing the distribution of the radiated electromagnetic field are polynomials of the (number of point wave sources-1) order. Number 3
And Eq. 5 are equalized with Chebyshev polynomials of equal order (that is, m = n−1), and the amplitude distribution of the array antenna obtained by comparing the coefficients is the Dolph-Chebyshev distribution. Further, the distribution of the radiated electromagnetic field at this time is represented by the Chebyshev polynomial of order n-1.

【0045】5次までのチェビシェフ多項式 Tm(x) (m
= 0, 1, 2, 3, 4, 5) の曲線を図3に示す。この図か
ら、チェビシェフ多項式は次の特性を持つことがわか
る。 1.点(1,1)を通る。 2.-1≦x≦+1の範囲のxに対してTm(x) の値は±1の
範囲に入る。また全ての根はこの範囲に存在する。
Chebyshev polynomial Tm (x) (m
= 0, 1, 2, 3, 4, 5) is shown in Fig. 3. From this figure, it can be seen that the Chebyshev polynomial has the following characteristics. 1. Go through point (1,1). 2. The value of Tm (x) falls within the range of ± 1 for x in the range of -1≤x≤ + 1. All roots are in this range.

【0046】チェビシェフ多項式から最適分布を求める
方法は以下の通りである。即ち、いま仮に6個の点波源
を想定すると、この場合の放射電磁界の分布は5次の多
項式で表される。この多項式を5次のチェビシェフ多項
式(図3のT5)と等置することにより最適分布を得るこ
とができる。ここで、主ローブの最大値とサイドローブ
レベルとの比をR=(主ローブの最大値/サイドローブ
レベル)で表すことにする。この場合、サイドローブの
最大値を1とすると、T5(x) 上の点(x0,R)は主ローブの
最大値に対応することになる。また、多項式の根は放射
電磁界のヌル点に対応する。チェビシェフ多項式の重要
な性質は、Rが与えられると第1ヌル点(x=x'1)ま
でのビーム幅が最小になるということである。
The method for obtaining the optimum distribution from the Chebyshev polynomial is as follows. That is, assuming six point wave sources, the distribution of the radiated electromagnetic field in this case is expressed by a polynomial of degree 5. An optimal distribution can be obtained by equating this polynomial with a Chebyshev polynomial of degree 5 (T 5 in FIG. 3). Here, the ratio between the maximum value of the main lobe and the side lobe level is represented by R = (maximum value of main lobe / side lobe level). In this case, assuming that the maximum value of the side lobe is 1, the point (x 0 , R) on T 5 (x) corresponds to the maximum value of the main lobe. The root of the polynomial corresponds to the null point of the radiated electromagnetic field. An important property of the Chebyshev polynomial is that, given R, the beamwidth to the first null point (x = x ' 1 ) is minimized.

【0047】ドルフ・チェビシェフ分布を求める手順
は、以下の3つのステップによって構成される。尚、放
射電磁界の分布を示す前記の数3および数5をみれば明
らかなように、これらはψ/2の関数となっている。
The procedure for obtaining the Dolph-Chebyshev distribution is composed of the following three steps. It should be noted that, as is clear from the above Expressions 3 and 5 showing the distribution of the radiated electromagnetic field, these are functions of ψ / 2.

【0048】第1ステップは、対象とするアレイに対
し、次数の等しいチェビシェフ多項式を選ぶことであ
る。即ち、n個の点波源で構成されるアレイに対して
は、次数n−1のチェビシェフ多項式 Tn-1(x)を選択す
る。次数mと点波源の数nとの関係は、m=n−1であ
る。
The first step is to choose Chebyshev polynomials of equal order for the target array. That is, a Chebyshev polynomial T n-1 (x) of degree n-1 is selected for an array of n point sources. The relationship between the order m and the number n of point wave sources is m = n-1.

【0049】第2ステップは、Rを決定し、Tm(x0) = R
をx0について解くことである。この場合、Rの決定に際
して例えばサイドローブレベルを主ローブに対して26
dBまで低減させるとすると、26dB = 20 log10 Rであ
るからR=20となる。x0の値は試行錯誤的に、また
は以下の数14により求める。
The second step is to determine R, Tm (x 0 ) = R
To solve for x 0 . In this case, when determining R, for example, the side lobe level is set to 26 with respect to the main lobe.
If it is reduced to dB, R = 20 because 26 dB = 20 log 10 R. The value of x 0 is obtained by trial and error or by the following Expression 14.

【0050】[0050]

【数14】 x0 = [ {R + (R2 - 1)1/2 1/m + {R - (R2 - 1)1/2 1/m ]/2 Equation 14] x 0 = [{R + ( R 2 - 1) 1/2} 1 / m + {R - (R 2 - 1) 1/2} 1 / m] / 2

【0051】ここで想定している5次のチェビシェフ多
項式T5(x) を図4に抜き出して示すが、この図4からわ
かるように、R>1のときにx0 も1より大きくなる。
ところが、先にx = cos(ψ/2) の条件を与えており、こ
の条件によれば、xの範囲は-1≦x≦+1でなければなら
ない。そこで、以下の数15で示すようなスケーリング
を行うことにより図4に示したように新たな横座標wを
導入する。
The 5th-order Chebyshev polynomial T 5 (x) assumed here is extracted and shown in FIG. 4. As can be seen from FIG. 4, x 0 also becomes larger than 1 when R> 1.
However, the condition of x = cos (ψ / 2) is given first, and according to this condition, the range of x must be −1 ≦ x ≦ + 1. Therefore, a new abscissa w is introduced as shown in FIG. 4 by performing scaling as shown in the following Expression 15.

【0052】[0052]

【数15】w=x/x0 (15) w = x / x 0

【0053】このことにより、w=cos(ψ/2) と置けば
wの範囲は-1≦w≦+1となるため、先の条件は満足され
る。このようにして、数3と数5は変換された横座標w
の多項式として表現される。
As a result, if w = cos (ψ / 2) is set, the range of w is -1≤w≤ + 1, and the above condition is satisfied. In this way, the equations 3 and 5 are converted into the abscissa w.
Expressed as a polynomial in.

【0054】最後の第3ステップは、選択されたチェビ
シェフ多項式 Tn-1(x)を放射電磁界を示す多項式(数
3,数5)と等置し、w=cos(ψ/2) を代入することで
ある。これは以下の数16のように表される。
In the final third step, the selected Chebyshev polynomial T n-1 (x) is equalized with the polynomials (Equation 3 and Equation 5) representing the radiated electromagnetic field, and w = cos (ψ / 2) is obtained. It is to substitute. This is expressed as the following Expression 16.

【0055】[0055]

【数16】Tn-1(x) = En[Expression 16] T n-1 (x) = En

【0056】各点波源の励振振幅は数16から求まり、
それらの振幅が、サイドローブレベルが与えられたとき
に最適分布となるドルフ・チェビシェフ分布に従ってい
ることは前述のチェビシェフ多項式の2つの特性から明
らかである。
The excitation amplitude of each point source is obtained from the equation 16,
It is clear from the above-mentioned two characteristics of the Chebyshev polynomial that their amplitudes follow the Dolph-Chebyshev distribution which is the optimum distribution when the sidelobe level is given.

【0057】以上のアンテナ指向性合成理論に準じて造
波板の振幅を補正するために、先に数12で例示したチ
ェビシェフ多項式を一般化して示すと以下の数17(次
数mが偶数の場合)および数18(次数mが奇数の場
合)の通りとなる。
In order to correct the amplitude of the wave-making plate according to the above antenna directivity synthesis theory, the Chebyshev polynomial shown in the above equation 12 is generalized and shown as the following equation 17 (when the order m is an even number). ) And Equation 18 (when the order m is an odd number).

【0058】[0058]

【数17】Tm(x) = Cm xm + Cm-2xm-2 + ・・・ + C0 [Expression 17] Tm (x) = C m x m + C m-2 x m-2 + ・ ・ ・ + C 0

【0059】[0059]

【数18】Tm(x) = Cm xm + Cm-2xm-2 + ・・ + C1x(Equation 18) Tm (x) = C m x m + C m-2 x m-2 + ・ ・ + C 1 x

【0060】ここで、次数mは造波板の数Nに対してm
=N−1と定めることは述べるまでもない。Cは次数m
に応じた係数であり、表1にm=23までの係数Cの値
を示す。
Here, the order m is m with respect to the number N of wave-making plates.
Needless to say, it is defined as = N-1. C is degree m
Table 1 shows the values of the coefficient C up to m = 23.

【0061】[0061]

【表1】 [Table 1]

【0062】さて、信号発生装置Sでは、造波板の数n
に従って、nが偶数の場合は数19に、またnが奇数の
場合は数20に、それぞれ示す通りの方程式 En(x)が作
成される。
In the signal generator S, the number n of wave-making plates is n.
Accordingly, the equations En (x) as shown in the equation (19) when n is even and the equation (20) when n is odd are created.

【0063】[0063]

【数19】 En(x) = (Bn-1/x0 n-1) xn-1+(Bn-3/x0 n-3) xn-3+ ・・・ + (B1/x0)x [Equation 19] En (x) = (B n-1 / x 0 n-1 ) x n-1 + (B n-3 / x 0 n-3 ) x n-3 + ・ ・ ・ + (B 1 / x 0 ) x

【0064】[0064]

【数20】 En(x) = (Bn-1/x0 n-1) xn-1+(Bn-3/x0 n-3) xn-3+ ・・・ + B0 [Equation 20] En (x) = (B n-1 / x 0 n-1 ) x n-1 + (B n-3 / x 0 n-3 ) x n-3 + ... + B 0

【0065】ここで、係数Bi (i = 0, 1, 2, ・・・, n-1)
は以下の数21の形をとる。
Here, the coefficient Bi (i = 0, 1, 2, ..., N-1)
Takes the form of the following equation 21.

【0066】[0066]

【数21】B = P0A0 + P1A1 + ・・・ + PM AM [Equation 21] B = P 0 A 0 + P 1 A 1 + ・ ・ ・ + P M A M

【0067】ここに、Mは、nが偶数の場合は (n-2)/2
であり、nが奇数の場合は (n-1)/2である。また、係数
Pi (i = 0, 1, 2, ・・・, m)は造波板の数毎に定まり、表
2および表3に、それぞれ造波板が8枚の場合と24枚
の場合について、、数15のW = x/x0 の次数による係
数Piの値を示す。
Here, M is (n-2) / 2 when n is an even number.
And (n-1) / 2 when n is an odd number. Also, the coefficient
Pi (i = 0, 1, 2, ..., m) is determined for each number of wave-making plates, and Tables 2 and 3 show that the number of wave-making plates is 8 and 24, respectively. The value of the coefficient Pi according to the order of W = x / x 0 in the equation 15 is shown.

【0068】[0068]

【表2】 [Table 2]

【0069】[0069]

【表3】 [Table 3]

【0070】今、造波板が偶数枚の場合を考えると、以
下の数22に示すように、数18と数19が互いに等し
い関係にならなければならない。
Now, considering the case where the number of wave-making plates is an even number, it is necessary for the equations 18 and 19 to have the same relationship as shown in the following equation 22.

【0071】[0071]

【数22】 (Bn-1/x0 n-1) xn-1+ (Bn-3/x0 n-3) xn-3+ ・・・ + (B1/x0)x = Cm xm + Cm-2xm-2 + ・・・ + C1x (B n-1 / x 0 n-1 ) x n-1 + (B n-3 / x 0 n-3 ) x n-3 + ・ ・ ・ + (B 1 / x 0 ) x = C m x m + C m-2 x m-2 + ・ ・ ・ + C 1 x

【0072】数22が常に成り立つためには、両辺でx
の次数ごとに項の係数が等しくなければならないため、
以下の数23に示すM個の連立一次方程式が成立する。
In order for Equation 22 to always hold, x on both sides
Since the coefficients of the terms must be equal for each order of,
M simultaneous linear equations shown in the following Expression 23 are established.

【0073】[0073]

【数23】Bn-1= Cn-1 ・x0 n-1 Bn-3= Cn-3 ・x0 n-3 B1 = C1 ・x0 [Equation 23] B n-1 = C n-1 · x 0 n-1 B n-3 = C n-3 · x 0 n-3 B 1 = C 1 · x 0

【0074】この連立一次方程式の未知数は左辺のBiに
含まれる A0, A1, ・・・ AM である。未知数の数と方程式
の数が等しくMであるから、この連立方程式は簡単に解
くことができ、振幅 A0, A1, ・・・ AM を求めることがで
きる。
[0074] unknowns of this system of linear equations A 0, A 1 is included in the left-hand side of the Bi, is ··· A M. Since the number of the number of equations unknowns is equal M, the simultaneous equations can be solved easily, the amplitude A 0, A 1, can be determined · · · A M.

【0075】この段階で求められた振幅 A0, A1, ・・・ A
M はパラメータx0 を含んだままであるが、x0 を前述
のように試行錯誤的に適宜変化させて得られる振幅分布
を用いて、例えばアイザクソンの予測計算手法(M.Isaa
cson; "Prediction of Directional Waves due to a Se
gmebted Wave Generator", Proceeding of 23rd IAHRCo
ngress, Vol. C, p.442-453, 1989)による数値計算を
行い、最適な波高分布が得られる場合の振幅分布を、最
終的な振幅分布として採用して信号発生装置Sの記憶部
に格納しておく。
Amplitudes A 0 , A 1 , ... A obtained at this stage
Although M still includes the parameter x 0 , for example, by using the amplitude distribution obtained by appropriately changing x 0 by trial and error as described above, for example, Isaxon's prediction calculation method (M. Isaa
cson; "Prediction of Directional Waves due to a Se
gmebted Wave Generator ", Proceeding of 23rd IAHRCo
ngress, Vol. C, p.442-453, 1989), and the amplitude distribution when the optimum wave height distribution is obtained is adopted as the final amplitude distribution in the storage unit of the signal generator S. Store it.

【0076】例えば、造波板が8枚の場合について計算
例を示すと以下の通りである。すなわち、表2に示した
n=8の場合の係数P0, P1, P2, P3の値および数21を
用いると、数23の左辺のBiは以下の数24に示す通り
となる。
For example, the calculation example is as follows when the number of corrugated plates is eight. That is, using the values of the coefficients P 0 , P 1 , P 2 , P 3 in the case of n = 8 and the equation 21 shown in Table 2, Bi on the left side of the equation 23 is as shown in the following equation 24. .

【0077】[0077]

【数24】B7 = 64A3 B5 = 16A2 - 112A3 B3 = 4A1 - 20A2 + 56A3 B1 = A0 - 3A1 + 5A2 - 7A3 Equation 24] B 7 = 64A 3 B 5 = 16A 2 - 112A 3 B 3 = 4A 1 - 20A 2 + 56A 3 B 1 = A 0 - 3A 1 + 5A 2 - 7A 3

【0078】チェビシェフ多項式の係数Cを示した表1
における次数が7の場合の値から各係数は以下の数25
の通りである。
Table 1 showing the coefficient C of the Chebyshev polynomial
From the value when the degree in 7 is 7, each coefficient is
It is as follows.

【0079】[0079]

【数25】C7 = 64 C5 = -112 C3 = 56 C1 = -7[Equation 25] C 7 = 64 C 5 = -112 C 3 = 56 C 1 = -7

【0080】従って、この場合の連立一次方程式は以下
の数26のようになる。
Therefore, the simultaneous linear equations in this case are as shown in the following Expression 26.

【0081】[0081]

【数26】64A3 = 64x0 7 16A2 - 112A3 = -112x0 5 4A1 - 20A2 + 56A3 = 56x0 3 A0 - 3A1 + 5A2 - 7A3 = -7x0 Equation 26] 64A 3 = 64x 0 7 16A 2 - 112A 3 = -112x 0 5 4A 1 - 20A 2 + 56A 3 = 56x 0 3 A 0 - 3A 1 + 5A 2 - 7A 3 = -7x 0

【0082】数26の連立一次方程式を振幅 A0, A1, A
2, A3 について解くと、パラメータx0 を残した形で以
下の数27の通りとなる。
The simultaneous linear equations of Eq. 26 are converted into amplitudes A 0 , A 1 and A
Solving for 2 and A 3 , the following equation 27 is obtained with the parameter x 0 left.

【0083】[0083]

【数27】A3 = x0 7 A2 = 7(x0 7 - x0 5) A1 = 7(3x0 7 - 5x0 5 + 2x0 3) A0 = 7(5x0 7 - 10x0 5 + 6x0 3 - x0)Equation 27] A 3 = x 0 7 A 2 = 7 (x 0 7 - x 0 5) A 1 = 7 (3x 0 7 - 5x 0 5 + 2x 0 3) A 0 = 7 (5x 0 7 - 10x 0 5 + 6x 0 3 -x 0 )

【0084】ここで、例えばサイドローブレベルを主ロ
ーブに対して26dBまで低減させる場合に対応させて前
述の数14からR=20,m=7として求めたx0 = 1.
15を数27の各式に代入すれば、次に示す数28の通り
にそれぞれの振幅が計算される。
Here, for example, x 0 = 1 obtained from the above-mentioned equation 14 as R = 20 and m = 7 corresponding to the case where the side lobe level is reduced to 26 dB with respect to the main lobe.
By substituting 15 into each equation of Equation 27, the respective amplitudes are calculated as shown in Equation 28 below.

【0085】[0085]

【数28】A3 = 2.66 A2 = 4.54 A1 = 6.76 A0 = 8.13(Equation 28) A 3 = 2.66 A 2 = 4.54 A 1 = 6.76 A 0 = 8.13

【0086】実際の造波装置では、信号発生装置Sによ
り数27を造波板の枚数に応じて予め求め、x0 を適宜
調整して最適な振幅分布を記憶しておき、この振幅分布
に応じて各造波板への造波指令信号の振幅を補正する。
これにより造波指令信号によって駆動される個々の造波
板はスネーク原理に従って目標方向に対応する位相差と
共に最適な振幅分布で周期運動することになり、得られ
る斜め規則波の波高分布が一様化されることになる。
In an actual wave making device, the signal generator S obtains the number 27 in advance in accordance with the number of wave making plates, and x 0 is adjusted appropriately to store an optimum amplitude distribution, and this amplitude distribution is stored. Accordingly, the amplitude of the wave forming command signal to each wave forming plate is corrected.
As a result, the individual wave-making plates driven by the wave-making command signal periodically move with an optimal amplitude distribution along with the phase difference corresponding to the target direction according to the Snake principle, and the obtained wave height distribution of the diagonal regular waves is uniform. Will be realized.

【0087】図5に造波板が24枚の場合の造波板の振
幅分布を相対振幅で示す。また、図6に従来の造波装置
の場合の造波板の動きの例を、図7に本発明による造波
装置の場合の造波板の動きの例を模式的に示す。図6及
び図7において、使用した水槽は18m×12mの面積
のものであり、幅0.5mの24枚の造波板を水槽の長
辺に沿って延長12mに配列した離散型の多方向造波機
とし、水深1.5m、周期1.0秒、波向θ=30度の
場合について、0.1秒ごとの各造波板の動きを図示し
てある。
FIG. 5 shows the amplitude distribution of the wave-making plates in the case of 24 wave-making plates in terms of relative amplitude. Further, FIG. 6 schematically shows an example of the movement of the wave making plate in the case of the conventional wave making device, and FIG. 7 schematically shows an example of the movement of the wave making plate in the case of the wave making device according to the present invention. In FIGS. 6 and 7, the water tank used has an area of 18 m × 12 m, and 24 wave-making plates with a width of 0.5 m are arranged in an extension of 12 m along the long side of the water tank. The movement of each wave-making plate is shown every 0.1 second in the case where the water wave is 1.5 m, the cycle is 1.0 second, and the wave direction θ is 30 degrees.

【0088】また、水槽の側壁は消波構造とし、造波板
の位相はスネーク原理に従うものとして、境界要素は要
素長/波長<0.2を満たすように造波板1枚当たり4
個配置して計算を行った。
Further, the side wall of the water tank has a wave-dissipating structure, the phase of the wave-making plate complies with the snake principle, and the boundary element is 4 per wave-making plate so as to satisfy the element length / wavelength <0.2.
Arranged individually and calculated.

【0089】図8に各造波板の振幅が同一の従来の場合
に得られる波高分布の計算結果を、図9に振幅分布を図
5に示すように変えた本発明の場合の波高分布の計算結
果を示す。これらの図において、ハッチングを施した領
域は目標波高との比が20%以内(波高比が0.8〜
1.2)を許容値としたときの波高安定領域を示す。ま
た、図10は測定線AA’上の計算結果を比較した線図
である。
FIG. 8 shows the calculation result of the wave height distribution obtained in the conventional case in which the amplitudes of the respective wave-making plates are the same, and FIG. 9 shows the wave height distribution of the present invention in which the amplitude distribution is changed as shown in FIG. The calculation result is shown. In these figures, the hatched region has a ratio with the target wave height of 20% or less (wave height ratio of 0.8 to
The stable wave height region when 1.2) is set as an allowable value is shown. Further, FIG. 10 is a diagram comparing the calculation results on the measurement line AA ′.

【0090】図8から、従来の造波装置で発生する斜め
波は波高分布が局所的に変動し、波高比で0.8未満あ
るいは1.2を超える箇所が島状に出現していることが
わかる。一方、本発明による図9の場合は、波高比が
0.8未満あるいは1.2を超える箇所は造波板近傍お
よび波高安定領域の外縁近くにわずかに現れるのみであ
り、主な試験対象範囲となる造波機中央からの波向線
(図中のBB’)に沿う付近にはそのような箇所は出現
していない。
It can be seen from FIG. 8 that the wave height distribution of the oblique wave generated by the conventional wave making device is locally varied, and the wave height ratio is less than 0.8 or exceeds 1.2 in islands. I understand. On the other hand, in the case of FIG. 9 according to the present invention, a portion where the wave height ratio is less than 0.8 or exceeds 1.2 only slightly appears near the wave-making plate and near the outer edge of the wave height stable region, and the main test target range No such portion appears in the vicinity of the wave direction line (BB ′ in the figure) from the center of the wave making machine.

【0091】[0091]

【発明の効果】以上に述べたように、本発明によれば、
斜め規則波の造波において波高の一様性が改善され、精
度の高い水理試験の実施が可能になる効果があり、この
ような波高の一様性の改善効果は、例えば図10に示す
測定線上の結果を比較した線図からも明らかである。ま
た本発明では水槽の側壁からの反射波を利用しないで斜
め規則波を造波できるため、側壁を消波構造として模型
からの反射波を吸収してしまうことができ、側壁からの
反射波が水槽に戻ることによる試験精度の低下も防ぐこ
とが可能である。
As described above, according to the present invention,
The uniformity of the wave height is improved in the formation of the diagonal regular wave, which has the effect of enabling a highly accurate hydraulic test to be performed. Such an effect of improving the wave height uniformity is shown in, for example, FIG. It is also clear from the diagram comparing the results on the measurement line. Further, in the present invention, since an oblique regular wave can be generated without using the reflected wave from the side wall of the aquarium, the side wall can absorb the reflected wave from the model as a wave-dissipating structure, and the reflected wave from the side wall It is also possible to prevent deterioration of test accuracy due to returning to the water tank.

【図面の簡単な説明】[Brief description of drawings]

【図1】本発明の一実施例に係る造波装置の構成を示す
模式図である。
FIG. 1 is a schematic diagram showing a configuration of a wave forming device according to an embodiment of the present invention.

【図2】等間隔対称アレイを形成する偶数アレイ(a
図)と奇数アレイ(b図)の模式図である。
FIG. 2 is an even array (a) forming an evenly spaced symmetrical array.
(Fig.) And an odd array (Fig. B).

【図3】5次までのチェビシェフ多項式を示す線図であ
る。
FIG. 3 is a diagram showing Chebyshev polynomials up to the fifth order.

【図4】5次のチェビシェフ多項式のカーブを抜き出し
て示した線図である。
FIG. 4 is a diagram showing an extracted curve of a Chebyshev polynomial of degree 5.

【図5】本発明の実施例における造波板の振幅分布の一
例を示す線図である。
FIG. 5 is a diagram showing an example of an amplitude distribution of a wave-making plate in the example of the present invention.

【図6】従来の造波装置における造波板の動きを示す説
明図である。
FIG. 6 is an explanatory diagram showing the movement of a wave-making plate in a conventional wave-making device.

【図7】本発明の実施例に係る造波装置における造波板
の動きを示す説明図である。
FIG. 7 is an explanatory view showing the movement of the wave making plate in the wave making apparatus according to the embodiment of the present invention.

【図8】従来の造波装置により得られる波高分布の計算
結果を示す線図である。
FIG. 8 is a diagram showing a calculation result of a wave height distribution obtained by a conventional wave making device.

【図9】本発明の実施例装置に得られる波高分布の計算
結果を示す線図である。
FIG. 9 is a diagram showing the calculation result of the wave height distribution obtained by the apparatus according to the embodiment of the present invention.

【図10】図8及び図9の測定線AA’上の波高計算結
果を比較した線図である。
FIG. 10 is a diagram comparing the wave height calculation results on the measurement line AA ′ of FIGS. 8 and 9;

【符号の説明】[Explanation of symbols]

P:造波板、D:駆動装置、F:架台、C:制御装置、
S:信号発生装置。
P: corrugated plate, D: drive device, F: mount, C: control device,
S: Signal generator.

Claims (1)

【特許請求の範囲】[Claims] 【請求項1】 一列に配列された複数の造波板と、各造
波板を個々に駆動する駆動装置と、駆動装置による各造
波板の周期運動を制御する制御装置と、互いに隣接する
造波板の周期運動に位相差を与えるように予め定められ
た造波指令信号を前記制御装置に与える信号発生装置と
を備え、前記造波板配列の前方に斜め規則波を発生させ
る造波装置において、 前記信号発生装置は、隣接する造波板の周期運動の振幅
を互いに異ならしめるように前記造波指令信号を補正す
る振幅補正手段を含んでいることを特徴とする造波装
置。
1. A plurality of wave-making plates arranged in a row, a drive device for individually driving each wave-making plate, and a control device for controlling the periodic movement of each wave-making plate by the drive device are adjacent to each other. A wave generator for generating a diagonal regular wave in front of the wave plate array, and a signal generator for giving a predetermined wave command signal to the control device so as to give a phase difference to the periodic motion of the wave plate. In the device, the signal generating device includes an amplitude correcting unit that corrects the wave forming command signal so that the amplitudes of the periodic motions of the adjacent wave forming plates are different from each other.
JP7027203A 1995-01-24 1995-01-24 Wave making equipment Expired - Lifetime JP2741660B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP7027203A JP2741660B2 (en) 1995-01-24 1995-01-24 Wave making equipment

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP7027203A JP2741660B2 (en) 1995-01-24 1995-01-24 Wave making equipment

Publications (2)

Publication Number Publication Date
JPH08201218A true JPH08201218A (en) 1996-08-09
JP2741660B2 JP2741660B2 (en) 1998-04-22

Family

ID=12214547

Family Applications (1)

Application Number Title Priority Date Filing Date
JP7027203A Expired - Lifetime JP2741660B2 (en) 1995-01-24 1995-01-24 Wave making equipment

Country Status (1)

Country Link
JP (1) JP2741660B2 (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2003516551A (en) * 1999-12-13 2003-05-13 ブラック、ケリー、ピーター Wave making pool structure
CN106092502A (en) * 2016-06-16 2016-11-09 中国石油大学(华东) A kind of combination push-plate type wave gutter channel wave maker
CN109115460A (en) * 2018-11-08 2019-01-01 山东科技大学 A kind of water injection type multimode push plate wave maker

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR101590832B1 (en) * 2015-09-02 2016-02-02 한국건설기술연구원 Apparatus and Method for Making Rip Current

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH02147933A (en) * 1988-11-30 1990-06-06 Ishikawajima Harima Heavy Ind Co Ltd Artificial irregular water wave generator

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH02147933A (en) * 1988-11-30 1990-06-06 Ishikawajima Harima Heavy Ind Co Ltd Artificial irregular water wave generator

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2003516551A (en) * 1999-12-13 2003-05-13 ブラック、ケリー、ピーター Wave making pool structure
CN106092502A (en) * 2016-06-16 2016-11-09 中国石油大学(华东) A kind of combination push-plate type wave gutter channel wave maker
CN106092502B (en) * 2016-06-16 2019-03-19 中国石油大学(华东) A kind of combination push-plate type wave gutter channel wave maker
CN109115460A (en) * 2018-11-08 2019-01-01 山东科技大学 A kind of water injection type multimode push plate wave maker
CN109115460B (en) * 2018-11-08 2023-11-21 山东科技大学 Water injection type multi-module push plate wave generator

Also Published As

Publication number Publication date
JP2741660B2 (en) 1998-04-22

Similar Documents

Publication Publication Date Title
Trucco Thinning and weighting of large planar arrays by simulated annealing
Lockwood et al. Optimizing sparse two-dimensional transducer arrays using an effective aperture approach
CN113032989B (en) Sparse array optimization method for minimizing array element number by constraining directivity coefficient
JP4869766B2 (en) Slot antenna
US6641534B2 (en) Methods and devices for ultrasound scanning by moving sub-apertures of cylindrical ultrasound transducer arrays in two dimensions
Zhang et al. Optimal design of sparse array for ultrasonic total focusing method by binary particle swarm optimization
Nikolov et al. Application of different spatial sampling patterns for sparse array transducer design
CN107658573B (en) Circular array directional diagram synthesis method based on quantum searcher search mechanism
CN112100701B (en) Two-dimensional distributed antenna subarray position optimization method based on genetic algorithm
JP2741660B2 (en) Wave making equipment
CN114357767A (en) Sum and difference beam sparse array comprehensive method for broadband wide-angle beam scanning
Bae et al. Ultrasonic sector imaging using plane wave synthetic focusing with a convex array transducer
CN111262612B (en) Array shaped beam analytic synthesis method based on pencil beam
CN109343004A (en) The iteration for improving Planar Phased Array Antenna beam-pointing accuracy presents phase calculation method
CN108987937B (en) Method and device for designing bifocal shaped reflector antenna
CN114814386B (en) Method for acquiring wave beam scanning time domain directional diagram of transient electromagnetic pulse array antenna
CN116564265A (en) Underwater structure noise control method based on parametric secondary sound source
CN111291493B (en) Design method for airborne early warning conformal array pitching detection beam forming
CN111293438B (en) Grating lobe suppression method and system based on uniform linear array broadband beam forming
Holm et al. Weight-and layout-optimized sparse arrays
CN113569192A (en) Multiphase hierarchical nested array antenna beam synthesis method
Wu et al. Equivalent linear array approach to array pattern synthesis
Diarra et al. Non-grid based elements positioning for optimal 2D array beams
JP2780085B2 (en) Wave making method
Kirkebo et al. Sparse cylindrical sonar arrays