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How to rectify this error ?

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Hello
Please how to rectify this error ?
Error in trapz (line 72)
if ~isempty(perm), z = ipermute(z,perm); end
Error in Variable_sec (line 194)
sigma_r(:,kmj) = trapz(x,m* Mode_shape(:,kmj));
The program is :
% width
b0 = 0.01;
x = linspace(0,L,100);
ratio = 1;
b = b0*ratio + (1/L)*b0*(1-ratio)*(L-x);
% masse
m_const = (rhos * hs + rhop* hp);
m = b * m_const;
% Layer thickness (hs = substrate, hp = piezo)
hs = 0.0005;
hp = 0.0001;
% Density of piezo
rhop = 7800;
% Density of substrate
rhos = 8700 ;
% Setion lengths
L = 0.035;
% lambda
f= @(lambda) 1+(cos(lambda)*cosh(lambda)) ;
for i=1:nlambda
lambda(i) = fzero(f, (pi/2)+pi*(i-1));
end
for km =1:nlambda
psi(km)= ( -cos (lambda(km))- cosh(lambda(km)) )/ ( -sin(lambda(km))+ sinh(lambda(km)) ) ;
x = linspace(0,L,100);
Mode_shape (:,km) = sin ( (lambda(km)/L)*x)- sinh( (lambda(km)/L)*x)+ psi(km) *( cos( (lambda(km)/L)*x) - cosh( (lambda(km)/L)*x));
end
%Modal forcing
for kmj=1:nlambda
sigma_r(:,kmj) = trapz(x,m* Mode_shape(:,kmj));
end

Accepted Answer

madhan ravi
madhan ravi on 1 Jan 2019
Edited: madhan ravi on 1 Jan 2019
L = 0.035;
hs = 0.0005;
hp = 0.0001;
rhop = 7800;
rhos = 8700 ;
b0 = 0.01;
x = linspace(0,L,100);
ratio = 1;
nlambda=11;
b = b0*ratio + (1/L)*b0*(1-ratio)*(L-x);
m_const = (rhos * hs + rhop* hp);
m = b * m_const;
f= @(lambda) 1+(cos(lambda)*cosh(lambda)) ;
lamda=zeros(1,nlambda); % preallocate
for i=1:nlambda
lambda(i) = fzero(f, (pi/2)+pi*(i-1));
end
x = linspace(0,L,100);
psi=zeros(1,nlambda);
sigma_r=zeros(100,nlambda);
for km =1:nlambda
psi(km)= ( -cos (lambda(km))- cosh(lambda(km)) )/ ( -sin(lambda(km))+ sinh(lambda(km)) ) ;
Mode_shape = sin ( (lambda(km)/L)*x)- sinh( (lambda(km)/L)*x)+ psi(km) *( cos( (lambda(km)/L)*x) - cosh( (lambda(km)/L)*x));
sigma_r(:,km) = trapz(x,m.* Mode_shape.');
end
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