I think you have to plot two different plots in the same figure

@Elsheikh.. Thanks for ur response but Plotting two different plots doesnt give the effect of compression and expansion state of the plate. also as i have mentioned that every point on the plate has a displacement in x and y direction and both these equations are functions of x,y. So the final plot needs to look like a compression and expansion state of plate rather than a displacement in z direction.

@Gravenkamp.. Thanks for the response.. i have tried quiver, but it only gives the velocity vector. What i am looking is a grid which is compressed at some point and is expanded at an other point. Also u and v are instantaneous displacements of a point on the plate and the resultant displacement of the point shoud also lie on the x-y plane.

Thanks Hauke

The code given again gives a top view representation of dispalcement in z direction hence the grid looks distorted. I have tried mesh, surf etc. all give the displacement in 3D grid ie result in z direction. The required grid distortion in x,y plane is the resultant of each grid point displacements in x,y direction. Thanks again

Dear Hauke

Thanks for being so patient.

I think the function you have taken is dependant on single variable x that is why you are getting a clean distorted grid.

try this function

u=-0.2*sin(x*pi).*sin(y*pi)+-0.2*cos(x*pi).*cos(y*pi);

v=-0.1*cos(x*pi).*sin(y*pi)+-0.2*cos(x*pi).*cos(y*pi);

You see if you remove view(2) and plot and see the plot mesh(xd,yd) it will show you a 3D plot with z direction displacement. now when u add z to mesh command it only flattens the z direnction deflection in x-y plane taking a relative orientation.

my problem is that every point in the grid is moving in x-y plane and the resultant of their x,y deflection is again in x-y plane. there is no flattening of z direction deflection.

For ur benefit i am giving you my equations of u and v

u=(3981215166341783.*cos(pi.*x))/19807040628566084398385987584 + (7476391693783937.*cos(2.*pi.*x))/36028797018963968 - (3981215166341783.*cos(3.*pi.*x))/19807040628566084398385987584 + (1217393838885743.*cos(4.*pi.*x))/18014398509481984 + (5387515050969975.*cos(pi.*y))/316912650057057350374175801344 + (7450591007501763.*cos(2.*pi.*y))/36028797018963968 - (8715097876569077.*cos(3.*pi.*y))/79228162514264337593543950336 + (4914651561812227.*cos(4.*pi.*y))/72057594037927936 + cos(12.566370614359172953850573533118.*y).*(0.1591549430917164570771380084936.*sin(4.7123889803846898576939650749193.*x) + 0.1591549430917164570771380084936.*sin(1.5707963267948966192313216916398.*x)) - 1.0.*cos(12.566370614359172953850573533118.*x).*(0.04007099550498452414220220842391.*sin(4.7123889803846898576939650749193.*y) + 0.04007099550498452414220220842391.*sin(1.5707963267948966192313216916398.*y)) - 1.0.*cos(12.566370614359172953850573533118.*y).*(0.040674021125264185906218690908304.*sin(4.7123889803846898576939650749193.*x) + 0.040674021125264185906218690908304.*sin(1.5707963267948966192313216916398.*x)) - 1.0.*cos(12.566370614359172953850573533118.*y).*(0.0000000026368214830571228632649151113529.*sin(4.7123889803846898576939650749193.*x) + 0.0000000026368214830571228632649151113529.*sin(1.5707963267948966192313216916398.*x)) + cos(12.566370614359172953850573533118.*y).*(0.0000000026739014016986726007153054398839.*sin(4.7123889803846898576939650749193.*x) + 0.0000000026739014016986726007153054398839.*sin(1.5707963267948966192313216916398.*x)) - 1.0.*cos(12.566370614359172953850573533118.*x).*(0.093919502001088501094899541965771.*sin(4.7123889803846898576939650749193.*y) + 0.093919502001088501094899541965771.*sin(1.5707963267948966192313216916398.*y)) - 1.0.*cos(12.566370614359172953850573533118.*x).*(0.000000003214428353230603467428765597368.*sin(4.7123889803846898576939650749193.*y) + 0.000000003214428353230603467428765597368.*sin(1.5707963267948966192313216916398.*y)) - cos(12.566370614359172953850573533118.*y).*(0.00000000263694323658858800636734410511.*cos(4.7123889803846898576939650749193.*x) - 0.00000000263694323658858800636734410511.*cos(1.5707963267948966192313216916398.*x)) + 1.0.*cos(12.566370614359172953850573533118.*y).*(0.0000000026739123833897457559450882062151.*cos(4.7123889803846898576939650749193.*x) - 0.0000000026739123833897457559450882062151.*cos(1.5707963267948966192313216916398.*x)) + 1.0.*cos(12.566370614359172953850573533118.*y).*(0.040674021126315880486015178638235.*cos(4.7123889803846898576939650749193.*x) - 0.040674021126315880486015178638235.*cos(1.5707963267948966192313216916398.*x)) + 1.0.*cos(12.566370614359172953850573533118.*y).*(0.11767076280164372648005965176331.*cos(4.7123889803846898576939650749193.*x) - 0.11767076280164372648005965176331.*cos(1.5707963267948966192313216916398.*x)) - cos(12.566370614359172953850573533118.*y).*(0.15915494309189534560822210096376.*cos(4.7123889803846898576939650749193.*x) - 0.15915494309189534560822210096376.*cos(1.5707963267948966192313216916398.*x)) + cos(12.566370614359172953850573533118.*x).*(0.0000000032525119029432904531688368915188.*sin(4.7123889803846898576939650749193.*y) + 0.0000000032525119029432904531688368915188.*sin(1.5707963267948966192313216916398.*y)) - cos(12.566370614359172953850573533118.*x).*(0.0000000032146269785995822769382737665986.*cos(4.7123889803846898576939650749193.*y) - 0.0000000032146269785995822769382737665986.*cos(1.5707963267948966192313216916398.*y)) + 1.0.*cos(12.566370614359172953850573533118.*x).*(0.0000000032527100508474403613897689546551.*cos(4.7123889803846898576939650749193.*y) - 0.0000000032527100508474403613897689546551.*cos(1.5707963267948966192313216916398.*y)) + 1.0.*cos(12.566370614359172953850573533118.*x).*(0.040070995504490663514037960844416.*cos(4.7123889803846898576939650749193.*y) - 0.040070995504490663514037960844416.*cos(1.5707963267948966192313216916398.*y)) + 1.0.*cos(12.566370614359172953850573533118.*x).*(0.093919502001777320890163387951975.*cos(4.7123889803846898576939650749193.*y) - 0.093919502001777320890163387951975.*cos(1.5707963267948966192313216916398.*y)) - cos(12.566370614359172953850573533118.*x).*(0.13484081426698314889062101726334.*cos(4.7123889803846898576939650749193.*y) - 0.13484081426698314889062101726334.*cos(1.5707963267948966192313216916398.*y)) - 1.0.*cos(12.566370614359172953850573533118.*y).*(0.11767076280251795494350459042922.*sin(4.7123889803846898576939650749193.*x) + 0.11767076280251795494350459042922.*sin(1.5707963267948966192313216916398.*x)) - (8083830663489267.*cos(pi.*x).*cos(pi.*y))/4835703278458516698824704 + (8715097876569077.*cos(pi.*x).*cos(2.*pi.*y))/158456325028528675187087900672 - (6417481163655411.*cos(2.*pi.*x).*cos(pi.*y))/39614081257132168796771975168 + (7979505200959803.*cos(pi.*x).*cos(3.*pi.*y))/4835703278458516698824704 + (7985815793738191.*cos(3.*pi.*x).*cos(pi.*y))/4835703278458516698824704 - (78918677504443.*cos(pi.*x).*cos(4.*pi.*y))/309485009821345068724781056 - (2749672779483597.*cos(2.*pi.*x).*cos(2.*pi.*y))/18014398509481984 + (5030988319655785.*cos(4.*pi.*x).*cos(pi.*y))/39614081257132168796771975168 + (2307520233227949.*cos(2.*pi.*x).*cos(3.*pi.*y))/9903520314283042199192993792 - (2139160387885137.*cos(3.*pi.*x).*cos(2.*pi.*y))/39614081257132168796771975168 - (7764052441832851.*cos(2.*pi.*x).*cos(4.*pi.*y))/144115188075855872 - (7923183764875597.*cos(3.*pi.*x).*cos(3.*pi.*y))/4835703278458516698824704 - (7670344728523405.*cos(4.*pi.*x).*cos(2.*pi.*y))/144115188075855872 + (78918677504443.*cos(3.*pi.*x).*cos(4.*pi.*y))/309485009821345068724781056 - (4555619344570199.*cos(4.*pi.*x).*cos(3.*pi.*y))/39614081257132168796771975168 - (8195634174835529.*cos(4.*pi.*x).*cos(4.*pi.*y))/576460752303423488 + cos(12.566370614359172953850573533118.*x).*(0.13484081426683878704757903430391.*sin(4.7123889803846898576939650749193.*y) + 0.13484081426683878704757903430391.*sin(1.5707963267948966192313216916398.*y)) - 4977318915857159/18014398509481984;

v=(2099546306628005.*cos(pi.*x))/39614081257132168796771975168 + (2885792671847677.*cos(2.*pi.*x))/302231454903657293676544 - (4991374238398653.*cos(3.*pi.*x))/79228162514264337593543950336 + (1903543767956795.*cos(4.*pi.*x))/604462909807314587353088 - (3961408125713217.*cos(pi.*y))/19807040628566084398385987584 + (5791552566995019.*cos(2.*pi.*y))/604462909807314587353088 + (2119353347256571.*cos(3.*pi.*y))/9903520314283042199192993792 + (3772225742053363.*cos(4.*pi.*y))/1208925819614629174706176 - 1.0.*cos(12.566370614359172953850573533118.*x).*(0.0000000054330875712025683480228207342711.*sin(4.7123889803846898576939650749193.*y) + 0.0000000054330875712025683480228207342711.*sin(1.5707963267948966192313216916398.*y)) + cos(12.566370614359172953850573533118.*y).*(0.0000000062259156920456416428288318154763.*sin(4.7123889803846898576939650749193.*x) + 0.0000000062259156920456416428288318154763.*sin(1.5707963267948966192313216916398.*x)) + 1.0.*cos(12.566370614359172953850573533118.*y).*(0.0000000018502639078169270511710509526541.*cos(4.7123889803846898576939650749193.*x) - 0.0000000018502639078169270511710509526541.*cos(1.5707963267948966192313216916398.*x)) + 1.0.*cos(12.566370614359172953850573533118.*y).*(0.0000000043364901189315227774624297692051.*cos(4.7123889803846898576939650749193.*x) - 0.0000000043364901189315227774624297692051.*cos(1.5707963267948966192313216916398.*x)) - cos(12.566370614359172953850573533118.*y).*(0.000000006226013890645529575777530625358.*cos(4.7123889803846898576939650749193.*x) - 0.000000006226013890645529575777530625358.*cos(1.5707963267948966192313216916398.*x)) - cos(12.566370614359172953850573533118.*y).*(0.069620575311776352012468735829156.*cos(4.7123889803846898576939650749193.*x) - 0.069620575311776352012468735829156.*cos(1.5707963267948966192313216916398.*x)) + 1.0.*cos(12.566370614359172953850573533118.*y).*(0.070445461517096390621429255005703.*cos(4.7123889803846898576939650749193.*x) - 0.070445461517096390621429255005703.*cos(1.5707963267948966192313216916398.*x)) + 1.0.*cos(12.566370614359172953850573533118.*x).*(0.0000000018779374510118595653504266248662.*cos(4.7123889803846898576939650749193.*y) - 0.0000000018779374510118595653504266248662.*cos(1.5707963267948966192313216916398.*y)) + 1.0.*cos(12.566370614359172953850573533118.*x).*(0.0000000054331324528965198247181705525547.*cos(4.7123889803846898576939650749193.*y) - 0.0000000054331324528965198247181705525547.*cos(1.5707963267948966192313216916398.*y)) - cos(12.566370614359172953850573533118.*x).*(0.0000000073484897775083733043490098599751.*cos(4.7123889803846898576939650749193.*y) - 0.0000000073484897775083733043490098599751.*cos(1.5707963267948966192313216916398.*y)) - cos(12.566370614359172953850573533118.*x).*(0.057109518471780276267768346904325.*cos(4.7123889803846898576939650749193.*y) - 0.057109518471780276267768346904325.*cos(1.5707963267948966192313216916398.*y)) + 1.0.*cos(12.566370614359172953850573533118.*x).*(0.057911561709125137704639702756251.*cos(4.7123889803846898576939650749193.*y) - 0.057911561709125137704639702756251.*cos(1.5707963267948966192313216916398.*y)) - 1.0.*cos(12.566370614359172953850573533118.*x).*(0.057109518471773906323531304694182.*sin(4.7123889803846898576939650749193.*y) + 0.057109518471773906323531304694182.*sin(1.5707963267948966192313216916398.*y)) + cos(12.566370614359172953850573533118.*x).*(0.057911561709130712510206379087181.*sin(4.7123889803846898576939650749193.*y) + 0.057911561709130712510206379087181.*sin(1.5707963267948966192313216916398.*y)) + cos(12.566370614359172953850573533118.*x).*(0.0000000073485672859656600678731014744728.*sin(4.7123889803846898576939650749193.*y) + 0.0000000073485672859656600678731014744728.*sin(1.5707963267948966192313216916398.*y)) - 1.0.*cos(12.566370614359172953850573533118.*y).*(0.0000000018501228965373477058095097169887.*sin(4.7123889803846898576939650749193.*x) + 0.0000000018501228965373477058095097169887.*sin(1.5707963267948966192313216916398.*x)) - (5217797223241427.*cos(pi.*x).*cos(pi.*y))/144115188075855872 - (2535301200456459.*cos(pi.*x).*cos(2.*pi.*y))/1267650600228229401496703205376 + (289677969192779.*cos(2.*pi.*x).*cos(pi.*y))/2475880078570760549798248448 + (5154524131820937.*cos(pi.*x).*cos(3.*pi.*y))/144115188075855872 + (2575221740324783.*cos(3.*pi.*x).*cos(pi.*y))/72057594037927936 - (2139160387885137.*cos(pi.*x).*cos(4.*pi.*y))/39614081257132168796771975168 - (8520094515087779.*cos(2.*pi.*x).*cos(2.*pi.*y))/1208925819614629174706176 + (1663791412799551.*cos(4.*pi.*x).*cos(pi.*y))/19807040628566084398385987584 - (2535301200456459.*cos(2.*pi.*x).*cos(3.*pi.*y))/19807040628566084398385987584 + (713053462628379.*cos(3.*pi.*x).*cos(2.*pi.*y))/79228162514264337593543950336 - (1485463369611107.*cos(2.*pi.*x).*cos(4.*pi.*y))/604462909807314587353088 - (5114089204835959.*cos(3.*pi.*x).*cos(3.*pi.*y))/144115188075855872 - (3007167917442621.*cos(4.*pi.*x).*cos(2.*pi.*y))/1208925819614629174706176 + (8715097876569077.*cos(3.*pi.*x).*cos(4.*pi.*y))/158456325028528675187087900672 - (6813621976226733.*cos(4.*pi.*x).*cos(3.*pi.*y))/79228162514264337593543950336 - (396795445902643.*cos(4.*pi.*x).*cos(4.*pi.*y))/604462909807314587353088 - 1.0.*cos(12.566370614359172953850573533118.*x).*(0.000000001878062228487243628511581764082.*sin(4.7123889803846898576939650749193.*y) + 0.000000001878062228487243628511581764082.*sin(1.5707963267948966192313216916398.*y)) - 1.0.*cos(12.566370614359172953850573533118.*y).*(0.069620575311971160986708376236459.*sin(4.7123889803846898576939650749193.*x) + 0.069620575311971160986708376236459.*sin(1.5707963267948966192313216916398.*x)) + cos(12.566370614359172953850573533118.*y).*(0.070445461517273688875172615717438.*sin(4.7123889803846898576939650749193.*x) + 0.070445461517273688875172615717438.*sin(1.5707963267948966192313216916398.*x)) - 1.0.*cos(12.566370614359172953850573533118.*y).*(0.0000000043365252921739462399629551584359.*sin(4.7123889803846898576939650749193.*x) + 0.0000000043365252921739462399629551584359.*sin(1.5707963267948966192313216916398.*x)) - 3855666708817529/302231454903657293676544;

Reg

Kavikant

Dear Hauke thanks again. But my plot looks different with the same code.