CN106557622A - A kind of method for designing of large scale annular cones type ultrasonic amplitude transformer - Google Patents

Abstract

A kind of method for designing of large scale annular cones type ultrasonic amplitude transformer, belongs to power ultrasonic Transformer design field.The present invention solves existing ultrasonic amplitude transformer and mostly is solid construction, lacks loop configuration, and the limited problem of amplification coefficient of solid core ultrasonic horn.It comprises the following steps：Step one, calculating α, l, area coefficient N, circular wavenumber k and wavelength X；Step 2, calculating resonance length L；Step 3, calculating displacement node x₀；Step 4, calculating magnification M_p；Step 5, set strain maximal point x_M, and then try to achieve form factor step 6, carry out numerical simulation according to the result of the given data into step 5 of step one and calculating with simulation softward, the design to ring-shaped ultrasonic horn is optimized.The present invention is applied to the design of large scale annular cones type ultrasonic amplitude transformer.

Description

A kind of method for designing of large scale annular cones type ultrasonic amplitude transformer

Technical field

The invention belongs to power ultrasonic Transformer design field, and in particular to a kind of large scale annular cones type ultrasonic amplitude of fluctuation The method for designing of bar.

Background technology

Ultrasonic amplitude transformer is the vitals for constituting ultrasonic vibration system, and its Main Function is the mechanical vibration particle Displacement or speed are amplified, and ultrasonic energy is concentrated on less area, i.e. cumulative.Ultrasonic amplitude transformer mainly have notch cuttype, The types such as exponential type, pyramid type, hyperbolic-type.At present, ultrasonic amplitude transformer mostly is solid construction, and amplification coefficient is limited, Want to obtain higher amplification coefficient on the basis of this, have increase end face diameter only, horn end face diameter is crossed conference and causes radially to shake Dynamic increase, this can limit focusing of the ultrasonic energy in small end on the contrary, and then affect the overall amplification coefficient of power ultrasound system. And for ring-shaped ultrasonic horn, under conditions of it need not increase end face diameter, it is possible to obtain bigger amplification coefficient.This Outward, in material processing field, it is often necessary to ring-shaped ultrasonic horn, for example, ring-shaped ultrasonic horn can realize rotary ultrasonic The center of processing supplies coolant or gas, and equipment can be made to have good cooling and chip removal effect.However, the design side of horn Method lacks the mathematical model of ring-shaped ultrasonic horn, and does not have complete theoretical system, for this purpose, the present invention proposes one kind greatly The method for designing of scale toroidal pyramid type ultrasonic amplitude transformer.

The content of the invention

The present invention is in order to the amplification coefficient for solving existing large scale ultrasonic amplitude transformer is limited and lacks loop configuration, it is proposed that A kind of method for designing of annular cones type ultrasonic amplitude transformer.

A kind of method for designing of large scale annular cones type ultrasonic amplitude transformer, it realizes according to the following steps：

Step one, the bus of horn elect cone as, if frequency of vibration be f, longitudinal wave velocity be C, outside diameter be D₁、 End diameter is D₂, center-hole diameter be D₀, due to annular cones type horn can with analogy into solid pyramid type horn, because This is obtained α, circular wavenumber k, area coefficient N and is respectively：

In known D₁、D₂、D₀, f, C when, you can obtain α, k, N and l.

Compressional wave wavelength X is:

In known f, C, you can obtain λ.

Step 2, will λ, k and l for trying to achieve in step one substitute into resonance length formula (3) in can obtain resonance length L：

Step 3, will k, α for trying to achieve in step one substitute into displacement node formula (4) in can obtain displacement node x₀For：

Step 4, will N, k and l for trying to achieve in step one substitute into amplification coefficient formula (5) in can obtain magnification M_pFor：

Step 5, set x_MTo strain maximal point, substituted in formula (6) according to N, α, k and l that step one is tried to achieve and shape is obtained Shape factorFor：

The result of step 6, the data given into step 5 according to step one with simulation softward and calculating carries out numerical value Simulation, the design to ring-shaped ultrasonic horn are optimized.

Beneficial effect：For solid core ultrasonic horn, the amplification coefficient that its acquisition will be made bigger, increase end face is had only straight Footpath, this certainly will cause radial vibration to increase, and constrain focusing of the energy in small end on the contrary, and then affect the whole of power ultrasonic device Body amplification coefficient.And the method for designing of large scale annular cones type ultrasonic amplitude transformer of the present invention, change need not increased It is under conditions of width rod end surface diameter, hollow by being designed to, bigger amplification just can be obtained, according to the big of present invention design The amplification coefficient of scale toroidal pyramid type ultrasonic amplitude transformer is at least same material with the solid pyramid type ultrasonic amplitude transformer of size More than 2 times of amplification coefficient.

Description of the drawings

Fig. 1 is a kind of design diagram of large scale annular cones type horn

Fig. 2 is the total displacement cloud atlas in the pyramid type horn analog result figure that inflated diameter is 20mm

Fig. 3 is the displacement vector cloud atlas in the pyramid type horn analog result figure that inflated diameter is 20mm

Fig. 4 is the total displacement cloud atlas in solid pyramid type horn analog result figure

Fig. 5 is the displacement vector cloud atlas in solid pyramid type horn analog result figure

Specific embodiment

The preferred embodiment of the present invention is elaborated below in conjunction with the accompanying drawings.

Specific embodiment：Referring to accompanying drawing 1, a kind of design side of described large scale annular cones type ultrasonic amplitude transformer Method, it realizes according to the following steps：

Step one, the bus of horn elect cone as, if frequency of vibration be f, longitudinal wave velocity be C, outside diameter be D₁、 End diameter is D₂, center-hole diameter be D₀, due to annular cones type horn can with analogy into solid pyramid type horn, because This is obtained α, circular wavenumber k, area coefficient N and is respectively：

In known D₁、D₂、D₀, f, C when, you can obtain α, k, N and l.

Compressional wave wavelength X is:

In known f, C, you can obtain λ.

Step 2, will λ, k and l for trying to achieve in step one substitute into resonance length formula (3) in can obtain resonance length L：

Step 3, will k, α for trying to achieve in step one substitute into displacement node formula (4) in can obtain displacement node x₀For：

Step 4, will N, k and l for trying to achieve in step one substitute into amplification coefficient formula (5) in can obtain magnification M_pFor：

Step 5, set x_MTo strain maximal point, substituted in formula (6) according to N, α, k and l that step one is tried to achieve and shape is obtained Shape factorFor：

The result of step 6, the data given into step 5 according to step one with simulation softward and calculating carries out numerical value Simulation, the design to ring-shaped ultrasonic horn are optimized.

Embodiment：

Specific embodiment is described further with reference to embodiment, referring to accompanying drawing 1, gives D₁=96mm, D₂= 40mm, D₀=20mm, f=20kHz, material select No. 45 steel, then C=5176376mm/s, tries to achieve α=0.00497, k= 0.0243, N=3.8, l=148.32mm, λ=258.82mm.

λ, k and l for trying to achieve are substituted in resonance length formula (3), resonance length L=148.32mm is tried to achieve.

K, α for trying to achieve are substituted in displacement node formula (4), displacement node x is tried to achieve₀=56.4mm.

N, k and l for trying to achieve are substituted in amplification coefficient formula (5), magnification M is tried to achieve_p=3.74.

According to N, α, k and l for trying to achieve, form factor can be tried to achieve by formula (6)

Numerical simulation is carried out according to data given herein above and the result tried to achieve with simulation softward, analog result is shown in accompanying drawing 2 With accompanying drawing 3, the Simulation scale-up coefficient that annular cones type horn can be calculated from accompanying drawing 2 is 3.8, be can be seen from accompanying drawing 3 The axial property of the ripple of annular cones type horn is preferable.

Reference examples：

In order to make comparisons with the Simulation scale-up coefficient of solid pyramid type horn, choose same material No. 45 steel it is solid Pyramid type horn, its design size are identical with the design size of embodiment, but horn is solid construction, according to concrete reality The step of applying mode one is carried out to step 6, and gained analog result is shown in accompanying drawing 4 and accompanying drawing 5, and filled circles can be calculated from accompanying drawing 4 The Simulation scale-up coefficient of tapered horn is 1.66, and embodiment is as shown in the table with the comparing result of reference examples：

As can be seen from the table, the Simulation scale-up coefficient of annular cones type horn is that the simulation of solid pyramid type horn is put Nearly 2.3 times of big coefficient, are much better than solid pyramid type horn.Additionally, can be seen that annular cones type becomes from accompanying drawing 3 and accompanying drawing 5 The axial property of the ripple of the axial property and solid pyramid type horn of the ripple of width bar is all fine.

Claims (3)

1. a kind of a kind of method for designing of large scale annular cones type ultrasonic amplitude transformer, it is characterised in that large scale annular cones The method for designing of type ultrasonic amplitude transformer, it realizes according to the following steps：

Step one, the bus of horn elect cone as, if frequency of vibration be f, longitudinal wave velocity be C, outside diameter be D₁, small end A diameter of D₂, center-hole diameter be D₀, as annular cones type horn can be with analogy into solid pyramid type horn, therefore can Obtain α, circular wavenumber k, area coefficient N to be respectively：

$\left\{\begin{array}{c}\mathrm{\α}=\frac{D_1-D_2}{(D_1-D_0)l}\\ k=\frac{2\mathrm{\π}f}{C}\\ N=\frac{D_1-D_0}{D_2-D_0}\\ \tan \left(kl\right)=\frac{kl}{1+\frac{N}{{(N-1)}^2}{\left(kl\right)}^2}\end{array}\right.---\left(1\right)$

In known D₁、D₂、D₀, f, C when, you can obtain α, k, N and l.

Compressional wave wavelength X is:

$\mathrm{\λ}=\frac{C}{f}---\left(2\right)$

In known f, C, you can obtain λ.

Step 2, will λ, k and l for trying to achieve in step one substitute into resonance length formula (3) in can obtain resonance length L：

$L=\frac{\mathrm{\λ}}{2}\·\frac{kl}{\mathrm{\π}}---\left(3\right)$

Step 3, will k, α for trying to achieve in step one substitute into displacement node formula (4) in can obtain displacement node x₀For：

$x_0=\frac{1}{k}\arctan \left(\frac{k}{\mathrm{\α}}\right)---\left(4\right)$

Step 4, will N, k and l for trying to achieve in step one substitute into amplification coefficient formula (5) in can obtain magnification M_pFor：

$M_p=\left|N(\cos kl-\frac{N-1}{Nkl}\sin kl)\right|---\left(5\right)$

Step 5, set x_MTo strain maximal point, N, α, k and the l tried to achieve according to step one be obtained in substituting into formula (6) shape because NumberFor：

The result of step 6, the data given into step 5 according to step one with simulation softward and calculating carries out Numerical-Mode Intend, the design to ring-shaped ultrasonic horn is optimized.

2. the method for designing of a kind of large scale annular cones type ultrasonic amplitude transformer according to claim 1, it is characterised in that Described outside diameter D₁For 96mm, end diameter D₂For 40mm, center-hole diameter D₀For 20mm.

3. the method for designing of a kind of large scale annular cones type ultrasonic amplitude transformer according to claim 1, it is characterised in that The material of described annular cones type ultrasonic amplitude transformer is No. 45 steel.