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Enclosure design for a high-speed permanent magnet rotor

Enclosure design for a high-speed permanent magnet rotor
Enclosure design for a high-speed permanent magnet rotor

ENCLOSURE DESIGN FOR A HIGH-SPEED PERMANENT

MAGNET ROTOR

A. Borisavljevic*, H. Polinder*, J.A. Ferreira*

*Delft University of Technology, Mekelweg 4, 2628CD Delft, The Netherlands, email: a.borisavljevic@tudelft.nl

Keywords: rotor enclosure, retaining sleeve, rotor bandage, high-speed machines, PM machines

Abstract

High-speed permanent magnet rotors need a non-magnetic enclosure so as to ensure structural integrity of the rotor at elevated speeds. Optimal design of the enclosure is the focus of this paper. Analytical modelling of mechanical stress in the rotor is presented. The model distinguishes between influences of enclosure geometry and fitting on the stress, while also considering rotational speed and operating temperature. Through analytical modelling, a relatively simple approach of optimizing the enclosure is achieved. This optimization approach was used in the design of a carbon fibre enclosure of an unconventional high-speed rotor with a disc shape. It is shown that a planar analytical model of stress with isotropic material assumption is sufficiently good for structural optimization of a permanent magnet rotor.

1 Introduction

Permanent magnet (PM) machines have become prevalent in very high-speed applications, especially among low-volume machines. Demand for ultra-high-speed machines is growing; however, mechanical stress in the rotor remains one of the major limitations for speed [1]. Permanent magnets represent the most mechanically vulnerable rotor part and they cannot sustain the tension caused by centrifugal forces to which the rotor is subjected during high-speed rotation. Therefore, the magnet must be contained in a non-magnetic enclosure/sleeve which would limit stresses in the magnet and ensure the transfer of torque from the magnet to the shaft at elevated speeds.

Many authors have studied properties of the enclosure and its influence on the magnetic field and losses in the rotor, eg.

[2][3]. Little has been published, however, on mechanical design of high-speed PM rotors and optimization of the rotor structure. Larsonneur [4] observed the existence of an optimal interference fit between the magnet and the enclosure for maximum permissible speed. Binder et al. [5] showed advantages of using surface-mounted magnets for high speed and also the validity of analytical mechanical modelling for the case of magnets without pole spacers. Zwyssig et al. [6] considered not only the enclosure’s strength, but also the compatibility of its thermal properties with the permanent magnet. This paper aims to determine and quantify the influence of enclosure geometry and fitting on mechanical stress in a high-speed rotor, while also considering rotational speed and operating temperature. Through analytical modelling, a relatively simple approach of optimizing the enclosure is achieved. This optimization approach was used in the design of a carbon fibre enclosure of an unconventional high-speed rotor for a micromilling spindle.

2 Test application: Disc-shaped PM rotor

Within the Microfactory project [7] downsized high-speed spindles for micro-milling are researched. New spindle technologies are sought so as to overcome current machine limits and facilitate ultra-fast milling.

A special setup with a disc-shaped rotor suspended in static air bearings has been realized [8]. The rotor has higher polar than transversal inertia, a property which offers important rotordynamical advantages: one rigid critical speed less and no flexural bendings within a conceivable speed range. An injection-moulded plastic-bonded magnet is applied to the rotor in a ring shape. The targeted speed of 200.000 rpm would bring the rotor’s tangential speed to the vicinity of 300 m/s. Proper enclosing of the magnet becomes crucial, particularly for a high-speed rotor with a high diameter to

length ratio.

Figure 1: A rotor drawing (dimensions in mm)

3 Material considerations

2.1 Permanent magnet

Optimum air-gap flux density in very high-speed PM machines is usually quite low [9] and such machines do not necessarily require high-energy permanent magnets.

I njection-moulded bonded NdFeB magnets offer important advantages such as high resistivity to magnetically induced

losses and shape flexibility, while their remanent field is sufficient for the application. Still, the possibility of plastic deformation and creep of the polymer material remain a great concern.

High temperature polymer polyphenylene-sulfide (PPS), favourable for injection moulding [10], was chosen as the plastic binder. Although PPS allows somewhat smaller volume fraction of permanent magnet material than some other polymer binders (e.g. nylon) and, accordingly, poorer magnetic properties [11], PPS-based bonded magnets have superior mechanical properties with respect to other bonded magnet types in terms of strength and processability [10][11]. -PS also exhibits, for a polymer, high melting temperature (280°C) and PPS-based magnets can maintain structural integrity even at the temperature of 180°C [12]. Yet, at about 85°C glass transition occurs in PPS [10] causing softening of the amorphous phase and a great reduction in strength [13]. Therefore, that temperature is taken as the rotor temperature limit.

material property PPS NdFeB bond 1density [g/cm 3] 1.35-1.7 7.35-7.6 4.82

compressive modulus [GPa] 2.8-3 140-170 31.73compressive strength [MPa] 125-185 800-1100 120

Poisson’s ratio 0.36-0.4 0.24 0.34

CTE [μm/m/°C]

40-55 4-8 4.741

values that were used in modelling; 2 measured; 3 taken from [12]; 4

calculated using rule of mixtures

Table 1: Properties of the bonded magnet and its constituents

Scarce of data on mechanical properties of bonded magnets hampered the work on modelling of stress in the rotor. A valuable study on this issue was performed by M.G. Garell et al. [12] who offered data on tensile modulus and strength. However, the magnet endures compression from the enclosure and the properties must have been assessed for that condition. I n the modelling (see succeeding sections) it was assumed that the compressive modulus is equal to the tensile modulus. Further, compression was assumed to be limited by the compressive strength of PPS and the value of 120 MPa was imposed on the maximum stress in the magnet. Finally, Poisson’s ratio and coefficient of thermal expansion (CTE) were estimated from the rules of mixtures [16]:

(1)bond pps NdFeB p p Q Q Q (1)

(1)(1)pps pps NdFeB NdFeB

bond pps NdFeB

p E p E p E p E D D D

(2)

where p (= 0.6) is the volume fraction of permanent magnet material in the bond and pps E and NdFeB E are tensile module of PPS and NdFeB magnet respectively. 2.1 Enclosure

Carbon fibres were chosen as the enclosure material for their

light weight and exceptional strength. For a rotor whose expected tip circumferential speed is beyond 250 m/s, this was the most appropriate choice.

material property

&fibres A fibres density [g/cm 3] 1.55 elastic modulus [GPa] 186.2 9.5 maximum stress [MPa]

1400 -100

Poisson’s ratio ?12 = 0.3

CTE [μm/m/°C]

-1 54 Table 2: Properties of the carbon fibres

The main drawback of using carbon fibres is their negligible

thermal expansion in contrast with that of permanent magnets; therefore, additional stress on the enclosure is expected at elevated rotor temperatures. Furthermore, while able to withstand extreme tensions, carbon fibres are rather sensitive to bending [5] and they need to be protected from being cut at edges of neighbouring materials.

Carbon fibres exhibit strong orthotropic nature since the fibres’ mechanical properties differ considerably in different directions and strongly depend on the cross-sectional type [14]. This makes precise analytical modelling burdensome. In subsequent sections both iso- and orthotropic modelling of stress in the rotor is presented. I n the example with the isotropic assumption, only properties in the direction of fibres from Table 2 (|| fibres) were considered. The values of the maximum stresses in the table have assumed a great safety margin.

4 Stress in the rotor: 2D isotropic modelling

A PM rotor will be represented as a compound of three

adjacent cylinders which correspond to the iron shaft, magnet and enclosure (Figure 2). The materials are assumed to be isotropic and linear and the mechanical stress is modelled in 2D. The enclosure is shrink- or press-fitted onto the magnet with an interference fit ?. The operating temperature of the rotor is assumed to be uniformly distributed in the rotor and represented as the temperature increment ?T=T-T 0, where T and T 0 are operating and room temperature respectively. The structure rotates with a constant angular velocity ?.Figure 2: Cross-section of a PM rotor

To facilitate a relatively simple analytical solution of the stress within the cylinders, an approach suitable for plain

elastic problems will be taken. For such problems,

generalized Hooke's law takes on the following form in the cylindrical system [15]:

N N N ******

**11r r t t M E E T E E H V D Q H V D H V D Q ao

?aoaoao?? '?????????????? ????

(3) where ? and ? denote strain and stress, and indices r and t correspond to radial and tangential direction respectively.

Starred coefficients in (3) have different correlations with material properties based on whether plain stress or plain strain representation is assumed. The plain strain model is suitable for slender cylinders, thus for long rotors, while plain stress model is valid for disks, thus for short, disk-shaped

rotors and laminated long rotors. Since the application rotor has a disc shape, the plain stress model is adopted for which the starred coefficients are simply equal to Young’s modulus, Poisson’s ratio and CTE of the given material: ***,,E E Q Q D D (4) (see e.g. [15] for the coefficients of the plain strain model).

From (3) the vector of stress components is:

11

M M T V H D ' (5)

To obtain expressions for the stress distribution, radial

displacement will be used. The correlations between the

displacement and strain are:

,r t du u

dr r

H H (6) and the force-equilibrium equation is:

20r t

r d r dr r

V V V U : (7) where ? denotes mass density.

By combining equations (5), (6) and (7) we obtain the governing differential equation for radial displacement: 22

222110d u du u r r dr E dr r Q U : (8) whose solution is given in:

223

18r

B u A r r E

Q U : (9)

where A and B are coefficients obtained from the boundary conditions.

After substituting (6) into (5) with respect to (9), expressions for radial and tangential stresses in the rotor regions are achieved. Boundary coefficients in each region are then obtained from the boundary equations: (1)(1)3(0)()()0,1,2

()(),1,2

()0

r ri bi r i bi r i bi ri bi i r e r r i u r u r i r V V V G V z f

(10) where, in our case, ?1=0 and ?2=?, and r b represents radius at

a boundary: r b1=r Fe ,r b2=r m .

Solution of the system of equations (10) is achieved using a symbolic solver and, finally, analytical expressions for radial and tangential stress in the rotor are obtained. The expressions are rather lengthy; however, influences of static pressure

(fitting), centrifugal force (rotation) and temperature

increment on the stress can be clearly distinguished. Thus,

both radial and tangential stresses can be expressed in the following way:

2()()()()r F G H T V G : ' (11)

where F, G and H are functions of geometry (cylinders’ radii r Fe ,r m and r e

) and material properties (E ,?,?).

5 Enclosure optimization

Goal of the optimization of the rotor enclosure was maximizing the rotational speed that the rotor could withstand. The dimensions of the PM motor were previously determined in the electromagnetic design [8]. Maximum

permissible thickness of the enclosure that could be fit in the air-gap is 2 mm. Temperature of the PPS glass-transition – 85oC, ?T § 60oC – is set as the rotor temperature limit. The thickness of the enclosure and interference fit must be adequately chosen so that the contact pressure between the

adjacent cylinders is maintained throughout the whole speed

range at the operating temperature, i.e.:

max 00,0r bi nom r T T V d :d :d 'd ' (12) At the same time, equivalent stress in each rotor part must be considerably below the material ultimate stress: eq max max 0,0,0e nom r r r T T V V d d d :d :d 'd '

(13)Figure 3: Finding optimal interference fit, similarly as in [4]

I t can be shown that critical stresses in this type of rotor (Figure 2) are radial (contact) stress at the magnet-iron boundary and tangential stress (tension) at the enclosure inner surface. As a result of modelling from the previous section, analytical expressions for these stresses can be presented as:

2,111m r crit e e e

F r

G r

H r T V G : ' (14) 2,222e t crit e e e F r G r H r T V G : '

(15)

where F 1,2,G 1,2 and H 1,2 are positive functions of the enclosure outer radius r e .

If the interference fit is very high, contact pressure between magnet and iron will be maintained (?r,crit <0), but the maximum stress ?e max in the enclosure will be reached at a

certain speed. Conversely, if the fit is very low, loss-of-contact limit will be met with increasing speed. It can be thus

inferred from (14) and (15) that for an expected operating temperature there is an optimal value of the interference for which both limits defined by (12) and (13) are reached at a

same rotational speed max (see Figure 3 and [4]). This speed can be adjusted by the enclosure radius r e so that the theoretical maximum rotational speed max is a considerable margin higher than the operating speed.

Hence, the optimal fit and theoretical maximum speed are obtained as functions of the enclosure radius r e from the following system of equations:

,max ,max max

,,00,,60m r crit opt e e t crit opt T T C V G G V G G V : : ' : : ' q (16) As it was expected, the highest speed could be reached with the highest allowable enclosure thickness of 2 mm. Optimal

interference fit is obtained from (16) to be 110 ?m.

Finally, in this design, additional limit is forced on the fitting by the magnet compression strength. Compliance of the

calculated interference fit to that limit needs to be ensured. Namely, because of the polymer used in the magnet, compression strength of the bonded magnet is much lower than that of sintered magnets (Table 1), maximum amount of

a press-fit that can be applied on the magnet is expected to be rather low. To account for this, maximum permissible fit ?max is calculated from the equation: ,max 0,0m m

eq crit T V V : ' (17)

where ?m eq,crit is von Mises stress in the magnet at the magnet

inner surface:

,m eq crit V (18) and ?m max

is assumed compression strength of the magnet.

From (17) maximum interference fit is calculated to be 95 ?m and, since it is smaller than the previously calculated optimal fit, it is set as the definite value of the interference fit between the magnet and enclosure.

6 Orthotropic modelling

I

n the modelling in Section 4 isotropic behaviour was assumed for all the rotor materials although, in reality, carbon fibre composites exhibit great differences between physical properties in different directions (Table 2). In order to check adequacy of such a model for representing stress in this class of rotors, two more accurate models were used which

consider orthotropic properties as well: orthotropic analytical

model and FE model. Values for enclosure thickness and fit (2 mm, 95 ?m) obtained from the optimization in the previous

section were maintained in these models and the results were compared with results of isotropic modelling. 6.1 Analytical orthotropic model Hooke’s law for the planar stress example in an orthotropic material has the following form [16]:

1221

11r t r r r t t t r t E E T E E Q H V D H V D Q ao ??aoaoao

?? '?????????????? ???? (19) where:

1221

t r

E E Q Q .

(20) Similarly as in Section 4, after combining equations (19), (6)

and (7) we obtain differential equation over radial displacement in the following form: 222

210d u du u P

h T Q r r dr r dr r UZ ' (21) where h , P and Q are constants dependent on material properties. The equation yields the expression for

displacement:

2319

h h P Q u A B r T r h h U ' : (22)

and further derivation of stress components terms is performed in the same way as in Section 4. I t should be notified that even with the use of a symbolic solver, derivation of the orthotropic solution for stress is

rather lengthy and burdensome.

6.2 Finite element model Finite element modelling was performed using Ansys

structural analysis. The model used PLANE82 elements for

2D structural modelling while the contact area between the

magnet and enclosure was modelled using CONTA172 and TARGE169.6.2 Results comparison

Results of the three models are given in Figure 4 including three examples that represent still rotor and the rotor rotating at the target speed of 200.000 rpm at both room and maximum temperature. The table contains values of relevant stresses at the inner surfaces of the magnet and enclosure. I t can be seen that the isotropic model is generally in good agreement with other two modes. An exception is stress in the magnet at the maximum speed: when the compression weakens, discrepancies between models become larger.

Mechanical stress room temperature, zero speed room temperature, 200.000 rpm 85°C, 200.000 rpm [MPa]

isotropic orthotropic FEM 2D isotropic orthotropic FEM 2D isotropic orthotropic FEM 2D

enclosure, inner, radial -118.3 -109.8-109-117-108.7-108-128 -122.8-117enclosure, inner, tangential 921 940.69351088110811101176 11881160magnet, inner, radial -137.8 -128-127-26.8-17.1-13.1-43.7 -37.4-25.9magnet, inner, tangential -56 -52-51.6-0.44 3.52 5.18 6.54 9.138.75magnet, inner, von Mises

120

111.3

110

26.6

19.1

16.3

47.3

42.7

31.2

Figure 4: Results of the used models

Nevertheless, the rotor designed using isotropic model meets all the requirements. As calculated by the FE model, compression in the magnet at stand-still and tension in the fibres at the maximum speed is slightly smaller than predicted by the isotropic model. Contact pressure between magnet and shaft is maintained throughout the whole speed range. Temperature rise causes additional stress in the rotor but also increases the contact pressure between the cylinders.

Although orthotropic analytical model predict the stress more accurately, the accuracy improvement does not justify great increase in complexity with respect to the isotropic model.

7 Final design and production

Although it is a commonly applied technique in high-speed rotors, the test application rotor could not be simply enclosed by pressing a fibre ring over a bare magnet without causing its damage. Polymer magnet would also buckle if it was simply pressed by the carbon fibres.

Therefore, the rotor structure was designed so as to ensure structural integrity of both magnet and fibres. A quarter of a

cross-section of the final rotor is given in Figure 5.

Figure 5: Final rotor structure

n the final design glass fibres were used to enable safe pressing of the carbon fibre ring and to protect carbon fibres from bending at corners of the magnet. The procedure followed for enclosing the magnet was:

First the glass fibre rings are pressed on the shaft over top and bottom faces of the magnet. Outer surfaces of the magnet and the glass fibre rings are then polished before pressing of the enclosure. In the same time, carbon fibres are wound around a

very thin glass fibre ring whose inner radius is for 95 ?m smaller then the outer radius of the magnet. Finally, the carbon/glass fibre ring is pressed onto the rotor.

7.1 3D finite element model of the final rotor

The rotor final structure was modelled in 3D using Ansys Workbench software.

Compression at the magnet inner surface resulting only from the press-fit is much smaller than calculated from the 2D modelling. However, what concerns is a large stress concentration at the line close to boundary between the iron

shaft and glass fibre ring (pointed by arrows at Figure 6). Figure 6: Magnet stress due to enclosure fitting

Further, according to this model, if the rotor remained at room temperature, the contact between the magnet and iron would be lost beyond 180.000 rpm. Maximum possible speed is

increased, though, if the operating temperature rises.

Figure 7: Magnet stress at maximum speed and temperature

Maximum equivalent stress in the magnet at the maximum speed and temperature is at the outer magnet surface and amounts to 110 MPa (Figure 7) which is still below the compression limit.

Maximum tensile stress in carbon fibres – 1147 MPa – is in a

very good agreement with results from 2D modelling.

Figure 8: A photo of the final rotor

8 Conclusions

Design of a retaining enclosure/sleeve for a high-speed permanent magnet rotor was analyzed in the paper. I t was shown that the 2D analytical modelling is a relatively simple but efficient tool for design and optimization of the rotor structure. The model distinguishes the influences of the interference fit, temperature and rotational speed on mechanical stress in the rotor. The thickness and fitting of the enclosure are optimized from the model with respect to two critical stresses: tension in the enclosure and contact pressure at the magnet-iron boundary.

The design approach was tested on the example of a disc-shaped rotor with a plastic-bonded magnet. Use of a polymer material in the magnet and rather high diameter to length ratio of the rotor posed a challenge both to modelling and production. Polymer binder – PPS – brought an additional constraint on the magnet compressive stress that was eventually decisive for the value of the enclosure press-fit. Modelling with an isotropic assumption for the rotor materials was sufficiently accurate even though carbon fibres were used for the enclosure. Based on the 3D FEM, the limiting speed of the final rotor is at the verge of 200.000 rpm which is the required maximum speed of the rotor. Acknowledgements

This research is carried out within the Micro-Ned program, which is subsidized by the Dutch Bsik. The authors would like to thank Dr. Frank T?ubner from Rosseta Techniek GmbH for his valuable contribution to the rotor design. References

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英语作文关于共享单车的篇精编

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闲适诗和讽喻诗是白居易特别看重的两类诗作,二者都具有尚实、尚俗、务尽的特点,但在内容和情调上却很不相同。讽喻诗志在“兼济”,与社会政治紧相兰联,多写得意激气烈;闲适诗则意在“独善”,“知足保和,吟玩性情” ,仍而 表现出淡泊平和、闲逸悠然的情调。 白居易的闲适诗在后代有很大影响,其浅切平易的语言风格、淡泊悠闲的意绪情调,都曾屡屡为人称道,但相比之下,这些诗中所表现的那种退避政治、知足保和的“闲适”思想,以及归趋佛老、效法陶渊明的生活态度,因与后世文人的心理较为吺吅,所以影响更为深远。如白居易有“相争两蜗角,所得一牛毛”、“蜗 牛角上争何事,石火光中寄此身”的诗句,而“后之使蜗角事悉稽之”。即以宋人所取名号论,“醉翁、迂叟、东坡之名,皆出于白乐天诗云”。宋人周必大指出:“本朝苏文忠公不轻许可,独敬爱乐天,屡形诗篇。盖其文章皆主辞达,而忠厚好施,刚直尽言,与人有情,于物无着,大略相似。谪居黄州,始号东坡,其原必起于乐天忠州之作也。”凡此种种,都展示出白居易及其诗的影响轨迹。 诗歌理论 白居易的思想,综吅儒、佛、道三家,以儒家思想为主导。孟子说的“达则兼济天下,穷则独善其身”是他终生遵循的信条。其“兼济”之志,以儒家仁政为主,也包括黄老之说、管萧之术和申韩之法;其“独善”之心,则吸取了老庄的知足、齐物、逍遥观念和佛家的“解脱”思想。二者大致以白氏被贬江州司马为界。白居易不仅留下近三千首诗,还提出一整奖诗歌理论。他把诗比作果树,提出“根情、苗言、华声、实义”的观点,他认为“情”是诗歌的根本条件,“感人心者莫先乎情”,而情感的产生又是有感于事而系于时政。因此,诗歌创作不能离开现实,必须取材于现实生活中的各种事件,反映一个时代的社会政治状况。他继承了《诗经》以来的比兴美刺传统,重视诗歌的现实内容和社会作用。强调诗歌揭露、批评政治弊端的功能。他在诗歌表现方法上提出一系列原则。《与元九书》中他提出了著名的“文章吅为时而著,歌诗吅为事而作”的现实主义创作原则。

小说鉴赏的基本常识

小说的基本常识 (一)小说的基本常识 1、小说是通过人物、情节和环境的具体描写来反映现实生活的一种文学体裁。人物、情节、环境是小说的三要素。 2、小说刻画人物形象的方法包括:语言描写、肖像描写、行动描写、心理描写和细节描写。 3、小说中的环境包括自然环境和社会环境。 4、小说的叙述方式包括顺叙、倒叙、插叙等。 (二)小说的特点 1、完整的故事情节 2、鲜明的人物形象 3、典型的环境 4、深刻的主题 5、精巧的构思 (三)高考命题要点 1.把握故事情节 2.揣摩人物形象 3.注意环境描写 4.概括主题内容 5.品味语言特色 6.分析写作技巧 一、小说情节的把握 把握好故事情节,是读懂小说的关键,是欣赏小说艺术特点的基础,也是整体感知文章的起点。命题者在为小说命题时,也必定以此为出发点,先从整体上设置理解文章内容的试题。 (一)高考中有关小说情节的命题指向 1、用一句话或简明的语句概括故事情节,或文中共写了哪几件事,请依次加以概括; 2、对某一情节的特点和作用进行分析; 3、对情节的高潮部分或结尾部分作用的理解; 4、小说在叙述故事情节过程中顺叙、倒叙、插叙等方法的使用; 5、哪一个情节最吸引你; 6、情节的合理性探究。(二)小说中情节的作用 1、交代人物活动的环境; 2、设置悬念,引起读者阅读的兴趣; 3、为后面的情节发展作铺垫或埋下伏笔; 4、照应前文; 5、线索或推动情节发展; 6、刻画人物性格; 7、表现主旨或深化主题。(三)情节安排的方式及作用 1、就全文来说有一波三折式。作用是引人入胜,扣人心弦,增强故事的戏剧性、可读性。 2、就开头结尾来说有首尾呼应式。作用是使结构紧密、完整。 3、就开头来说有倒叙式(把结局放到开头来写),如《祝福》,先写祥林嫂的死,然后再写祥林嫂是怎样一步步被封建礼教逼向死亡之地的。起到制造悬念的作用。 4、就结尾来说有戛然而止,留下空白式。此外,还有出人意料式、悲剧、喜剧式等。 5、贯穿情节的线索。可作线索的小说因素有:事、物、人、情、时间、空间,如《药》中的“人血馒头”、《故乡》中的“我”等。 (四)分析小说情节的入手方式: 1、抓住场面; 2、寻找线索; 3、理清小说的结构。 (五)分析小说情节时的注意事项 1、情节的发展变化是矛盾冲突发展的体现,分析小说的情节时必须抓住主要的矛盾冲突。 2、分析情节不是鉴赏小说的目的,而是手段,是为理解人物性格、把握小说主题服务的。所以,在分析情节的过程中,要随时注意体会它对人物性格的形成及对揭示小说主题的作用。 (六)情节安排的顺序及作用 1、顺叙:按时间(空间)顺序来写,情节发展脉络分明,层次清晰。

汽车利弊英语作文4篇

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