The main task is to come up with a set of reasonable coordinates to define the various exploded elements.

There are several ways to do it. I'll mention 2.

1st approach

Use your drawing, read suitable coordinates from it, draw the various elements.

2nd approach

Let's pretend some perspective and construct some points from intersections with lines. For a given object, e.g. the membran:

• start from a fixpoint
• P1: intersect with upper back (line)
• P2: intersect with upper forgr
• P3: vertical down from P2, intersct with lower forgr
• P4: vertical down from P1, intersct with lower back
• work from there, e.g. draw a cyclic line between these 4 points

As you can see by the dashed line, this approach cheats somewhat with the concept of fixed point perspectice. But the result may be good enough.

    % ~~~ membran ~~~~~~~~~~~
    \draw[hlp,name path=ln1] (fx) -- +(230:7);          % start direction
    \path[name intersections={of=ln1 and ub, by=P1}];
    \path[name intersections={of=ln1 and uf, by=P2}];
    \draw[hlp,name path=ln1a](P2) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1a and lf, by=P3}];
    \draw[hlp,dashed]        (P3) -- (fx);              % to show cheating  
    \draw[hlp,name path=ln1b](P1) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1b and lb, by=P4}];

    \draw[mb,fill=black] (P1) -- (P2) -- (P3) node[an]{membrane} -- (P4) -- cycle;

Finally make the teal help lines invisible by setting opacity=0 when you're done.

The fixed point (fx) may be somewhere inside the crossection of your upper sketch (2D), i.e. it must be finished before the upper back line.

\documentclass[10pt,border=3mm,tikz]{standalone}
\usetikzlibrary{intersections}

\begin{document}
 \begin{tikzpicture}[
    hlp/.style={teal,opacity=.5}, % reduce opacity to make less visible
    ae/.style={anchor = east},
    an/.style={anchor = north},
    mb/.style={line width=2pt},
 ]
 
    % ~~~ construction lines ~~~~~~~ 
    \draw[hlp,name path=hor] (-8, 0  )  node[ae]{horizon}    -- (8,0);
    \draw[hlp,name path=ub]  (-8,-2  )  node[ae]{upper back} -- (8,-2);
    \draw[hlp,name path=uf]  (-8,-4  )  node[ae]{upper forgr}-- (8,-4);
    \draw[hlp,name path=lb]  (-8,-6.5)  node[ae]{lower back} -- (8,-6.5);
    \draw[hlp,name path=lf]  (-8,-8.5)  node[ae]{lower forgr}-- (8,-8.5);
    
    % ~~~ fixpoint ~~~~~~~
    \coordinate (fx) at (3,0);
        
    % ~~~ membran ~~~~~~~~~~~
    \draw[hlp,name path=ln1] (fx) -- +(230:7);          % start direction
    \path[name intersections={of=ln1 and ub, by=P1}];
    \path[name intersections={of=ln1 and uf, by=P2}];
    \draw[hlp,name path=ln1a](P2) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1a and lf, by=P3}];
    \draw[hlp,dashed]        (P3) -- (fx);              % to show cheating  
    \draw[hlp,name path=ln1b](P1) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1b and lb, by=P4}];

    \draw[mb,fill=black] (P1) -- (P2) -- (P3) node[an]{membrane} -- (P4) -- cycle;


    % ~~~ frame ~~~~~~~~~~~
    \draw[hlp,name path=ln1] (fx) -- +(300:7);          % start direction
    \path[name intersections={of=ln1 and ub, by=F1}];
    \path[name intersections={of=ln1 and uf, by=F2}];
    \draw[hlp,name path=ln1a](F2) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1a and lf, by=F3}];
    \draw[hlp,dashed]        (F3) -- (fx);              % to show cheating  
    \draw[hlp,name path=ln1b](F1) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1b and lb, by=F4}];

    \draw[mb] (F1) -- (F2) -- (F3) node[an]{frame} -- (F4) -- cycle;


    % ~~~ biplane ~~~~~~~~~~~
    \draw[hlp,name path=ln1] (fx) -- +(215:10);         % start direction
    \path[name intersections={of=ln1 and ub, by=B1}];
    \path[name intersections={of=ln1 and uf, by=B2}];
    \draw[hlp,name path=ln1a](B2) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1a and lf, by=B3}];
    \draw[hlp,dashed]        (B3) -- (fx);              % to show cheating  
    \draw[hlp,name path=ln1b](B1) -- +(0,-5);           % vert. down
    \path[name intersections={of=ln1b and lb, by=B4}];

    \draw[mb] (B1) -- (B2) -- (B3) node[an]{biplane} -- (B4) -- cycle;
 \end{tikzpicture}
\end{document}