char = S;code = 83 char = P;code = 80 char = I;code = 73 char = C;code = 67 char = E;code = 69 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = f;code = 102 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = l;code = 108 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = y;code = 121 char = ;code = 32 char = p;code = 112 char = i;code = 105 char = e;code = 101 char = z;code = 122 char = o;code = 111 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = p;code = 112 char = o;code = 111 char = l;code = 108 char = y;code = 121 char = m;code = 109 char = e;code = 101 char = r;code = 114 char = s;code = 115 char = .;code = 46 result sql = SPICE model for lossy piezoelectric polymers.
SPICE model for lossy piezoelectric polymers.char = T;code = 84 char = h;code = 104 char = i;code = 105 char = s;code = 115 char = ;code = 32 char = w;code = 119 char = o;code = 111 char = r;code = 114 char = k;code = 107 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = r;code = 114 char = a;code = 97 char = n;code = 110 char = s;code = 115 char = m;code = 109 char = i;code = 105 char = s;code = 115 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = l;code = 108 char = i;code = 105 char = n;code = 110 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = q;code = 113 char = u;code = 117 char = i;code = 105 char = v;code = 118 char = a;code = 97 char = l;code = 108 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = f;code = 102 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = l;code = 108 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = y;code = 121 char = ;code = 32 char = p;code = 112 char = i;code = 105 char = e;code = 101 char = z;code = 122 char = o;code = 111 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = p;code = 112 char = o;code = 111 char = l;code = 108 char = y;code = 121 char = m;code = 109 char = e;code = 101 char = r;code = 114 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = S;code = 83 char = P;code = 80 char = I;code = 73 char = C;code = 67 char = E;code = 69 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = m;code = 109 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = .;code = 46 char = ;code = 32 char = T;code = 84 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = c;code = 99 char = l;code = 108 char = u;code = 117 char = d;code = 100 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = c;code = 99 char = h;code = 104 char = a;code = 97 char = n;code = 110 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = /;code = 47 char = v;code = 118 char = i;code = 105 char = s;code = 115 char = c;code = 99 char = o;code = 111 char = e;code = 101 char = l;code = 108 char = a;code = 97 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = ,;code = 44 char = ;code = 32 char = d;code = 100 char = i;code = 105 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = /;code = 47 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = ,;code = 44 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = p;code = 112 char = i;code = 105 char = e;code = 101 char = z;code = 122 char = o;code = 111 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = /;code = 47 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = o;code = 111 char = m;code = 109 char = e;code = 101 char = c;code = 99 char = h;code = 104 char = a;code = 97 char = n;code = 110 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = l;code = 108 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = n;code = 110 char = o;code = 111 char = v;code = 118 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = y;code = 121 char = ;code = 32 char = b;code = 98 char = y;code = 121 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = m;code = 109 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = x;code = 120 char = ;code = 32 char = e;code = 101 char = l;code = 108 char = a;code = 97 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = ,;code = 44 char = ;code = 32 char = d;code = 100 char = i;code = 105 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = ,;code = 44 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = p;code = 112 char = i;code = 105 char = e;code = 101 char = z;code = 122 char = o;code = 111 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = t;code = 116 char = a;code = 97 char = n;code = 110 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = b;code = 98 char = t;code = 116 char = a;code = 97 char = i;code = 105 char = n;code = 110 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = o;code = 111 char = m;code = 109 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = a;code = 97 char = s;code = 115 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = p;code = 112 char = e;code = 101 char = d;code = 100 char = a;code = 97 char = n;code = 110 char = c;code = 99 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = P;code = 80 char = V;code = 86 char = D;code = 68 char = F;code = 70 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = P;code = 80 char = V;code = 86 char = D;code = 68 char = F;code = 70 char = -;code = 45 char = T;code = 84 char = r;code = 114 char = F;code = 70 char = E;code = 69 char = ;code = 32 char = s;code = 115 char = a;code = 97 char = m;code = 109 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = b;code = 98 char = y;code = 121 char = ;code = 32 char = n;code = 110 char = o;code = 111 char = n;code = 110 char = l;code = 108 char = i;code = 105 char = n;code = 110 char = e;code = 101 char = a;code = 97 char = r;code = 114 char = ;code = 32 char = r;code = 114 char = e;code = 101 char = g;code = 103 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = e;code = 101 char = c;code = 99 char = h;code = 104 char = n;code = 110 char = i;code = 105 char = q;code = 113 char = u;code = 117 char = e;code = 101 char = .;code = 46 char = ;code = 32 char = T;code = 84 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = q;code = 113 char = u;code = 117 char = i;code = 105 char = v;code = 118 char = a;code = 97 char = l;code = 108 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = c;code = 99 char = i;code = 105 char = r;code = 114 char = c;code = 99 char = u;code = 117 char = i;code = 105 char = t;code = 116 char = ;code = 32 char = p;code = 112 char = a;code = 97 char = r;code = 114 char = a;code = 97 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = e;code = 101 char = r;code = 114 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = r;code = 114 char = i;code = 105 char = v;code = 118 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = o;code = 111 char = m;code = 109 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = o;code = 111 char = g;code = 103 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = b;code = 98 char = e;code = 101 char = t;code = 116 char = w;code = 119 char = e;code = 101 char = e;code = 101 char = n;code = 110 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = l;code = 108 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = y;code = 121 char = ;code = 32 char = e;code = 101 char = l;code = 108 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = t;code = 116 char = r;code = 114 char = a;code = 97 char = n;code = 110 char = s;code = 115 char = m;code = 109 char = i;code = 105 char = s;code = 115 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = l;code = 108 char = i;code = 105 char = n;code = 110 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = a;code = 97 char = c;code = 99 char = o;code = 111 char = u;code = 117 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = v;code = 118 char = e;code = 101 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = a;code = 97 char = g;code = 103 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = .;code = 46 char = ;code = 32 char = T;code = 84 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = s;code = 115 char = i;code = 105 char = m;code = 109 char = u;code = 117 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = p;code = 112 char = e;code = 101 char = d;code = 100 char = a;code = 97 char = n;code = 110 char = c;code = 99 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = p;code = 112 char = h;code = 104 char = a;code = 97 char = s;code = 115 char = e;code = 101 char = ;code = 32 char = p;code = 112 char = l;code = 108 char = o;code = 111 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = v;code = 118 char = a;code = 97 char = r;code = 114 char = i;code = 105 char = o;code = 111 char = u;code = 117 char = s;code = 115 char = ;code = 32 char = s;code = 115 char = a;code = 97 char = m;code = 109 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = s;code = 115 char = ,;code = 44 char = ;code = 32 char = w;code = 119 char = o;code = 111 char = r;code = 114 char = k;code = 107 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = i;code = 105 char = c;code = 99 char = k;code = 107 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = ,;code = 44 char = ;code = 32 char = h;code = 104 char = a;code = 97 char = v;code = 118 char = e;code = 101 char = ;code = 32 char = b;code = 98 char = e;code = 101 char = e;code = 101 char = n;code = 110 char = ;code = 32 char = s;code = 115 char = h;code = 104 char = o;code = 111 char = w;code = 119 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = a;code = 97 char = g;code = 103 char = r;code = 114 char = e;code = 101 char = e;code = 101 char = ;code = 32 char = w;code = 119 char = e;code = 101 char = l;code = 108 char = l;code = 108 char = ;code = 32 char = w;code = 119 char = i;code = 105 char = t;code = 116 char = h;code = 104 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = a;code = 97 char = s;code = 115 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = d;code = 100 char = a;code = 97 char = t;code = 116 char = a;code = 97 char = .;code = 46 char = <;code = 60 char = b;code = 98 char = r;code = 114 char = /;code = 47 char = >;code = 62 result sql = This work presents the transmission line equivalent model for lossy piezoelectric polymers and its SPICE implementation. The model includes the mechanical/viscoelastic, dielectric/electrical, and piezoelectric/electromechanical losses in a novel way by using complex elastic, dielectric, and piezoelectric constants obtained from the measured impedances of PVDF and PVDF-TrFE samples by nonlinear regression technique. The equivalent circuit parameters are derived from analogies between a lossy electrical transmission line and acoustic wave propagation. The simulated impedance and phase plots of various samples, working in thickness mode, have been shown to agree well with the measured data.
Publication: IEEE Trans Ultrason Ferroelectr Freq Control 2009 Feb ;56(2)::387-95. :doi: 10.1109/TUFFC.2009.1048.
Publication Date: 2009 Feb
Study Author(s): Dahiya, Ravinder S;Valle, Maurizio;Lorenzelli, Leandro;
Institution: Department of Robotics, Brain and Cognitive Sciences, Italian Institute of Technology, Genoa, Italy.
[email protected]
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This work presents the transmission line equivalent model for lossy piezoelectric polymers and its SPICE implementation. The model includes the mechanical/viscoelastic, dielectric/electrical, and piezoelectric/electromechanical losses in a novel way by using complex elastic, dielectric, and piezoelectric constants obtained from the measured impedances of PVDF and PVDF-TrFE samples by nonlinear regression technique. The equivalent circuit parameters are derived from analogies between a lossy electrical transmission line and acoustic wave propagation. The simulated impedance and phase plots of various samples, working in thickness mode, have been shown to agree well with the measured data.
PMID: 19251526