% File isbn0521782112corrections.TXT (= isbn0521782112corrections.TEX) % % Corrections and additional comments to the book % % Ocean Waves and Oscillating Systems: Linear interactions including wave energy extraction % by Johannes Falnes (ISBN # 0-521-78211-2) % Cambridge University Press, 2002 % % The text below shows the TEX file, from which a DVI file has been generated by using programme PCTeX. % This % isbn0521782112corrections.DVI % file has been printed on paper, which has been scanned to produce a corresponding PDF file. % isbn0521782112corrections.PDF. % Moreover, the sheets of the paper copy have been scanned as TIF files % that have been inserted as pages of the DOC file % isbn0521782112corrections.DOC. % % The text of file, % isbn0521782112corrections.TEX % in its latest version (2008-02-11) is as follows: % % ================================================ % \documentclass[a4paper,12pt]{article} %\documentstyle[a4paper,12pt]{article} \usepackage{amsmath} %\input{mssymb} \begin{document} \baselineskip=24pt \vspace{-1cm} %\title{ERRATA} \centerline{{\bf ERRATA}} %\author{J. Falnes} %\maketitle %\vspace{-1cm} \centerline{{\bf Misprints, corrections and comments etc., relating to the book}} \centerline{``{\it Ocean Waves and Oscillating Systems}'', ISBN 0-521-78211-2.} \vspace{1cm} %\begin{abstract} %\end{abstract} %\pagebreak %\section{INTRODUCTION} \newcommand{\bdelta}{\mbox{\boldmath $\delta$}} \vspace{-1cm} \noindent -------------------------------------------------------------------------------------------------- %\vspace{-1cm} \noindent List of contents, page vii: The title (heading) of Section 5.9 should not be more than "Motion Response". % (2002-05-03) \vspace{0.2cm} \noindent Preface, page x, line 3: Between "- - - of the present book." and "I am also in - - -", insert the following sentence: "He and Torkel Bjarte-Larsson, a course participant from 1999, used the computer code WAMIT to work out Figures 5.8 and 5.9." % (2005-02-04) \vspace{0.2cm} \noindent Page 11, Table 2.1: \,\, $+ \,\,\, \frac{\hat{x}}{2}e^{-i\omega t}$ \,\,\, should be \,\, $+ \,\,\, \frac{\hat{x}^*}{2}e^{-i\omega t}$ % (2005-06-13) \vspace{0.2cm} \noindent Page 18, Eq. (2.77): \,\, $\hat{F}\hat{u}^* + \hat{F}\hat{u}^* \, +$ \,\,\, should be \,\, $\hat{F}\hat{u}^* + \hat{F}^*\hat{u}\, +$ % (2005-06-13) \vspace{0.2cm} \noindent Page 35, first line below eq. (2.192) could preferably be: \, ``If this is not true, we may conveniently subtract the singular part of $H(\omega)$. Let'' % (2005-06-13) \vspace{0.2cm} \noindent Page 35, line 4 from below: \,\, ``casual''\,\,\, should be \,\, ``causal'' % (2005-06-13) \vspace{0.2cm} \noindent Page 53, Figure 3.3: \,\, $R_f$\,\,\, should (two places) be \,\, $R_m$ % (2008-02-11) \vspace{0.2cm} \noindent Page 63, line 9: \,\, ``kinetic''\,\,\, should be \,\, ``kinematic'' % (2008-02-11) \vspace{0.2cm} \noindent Page 67, fourth line below eq. (4.64): To be more correct, \,\, ``Eq. (4.62) and''\,\,\, could preferably be replaced by \,\, ``Eq. (4.62) -- assuming $\omega$ is real -- and'' % (2005-06-13) %\vspace{0.2cm} \noindent Page 76, Eq. (4.120): \,\, $|\hat{\eta}_f|^2 + |\hat{\eta}_f|^2 \, +$ \,\,\, should be \,\, $|\hat{\eta}_f|^2 + |\hat{\eta}_b|^2 \, +$ % (2005-06-13) \vspace{0.2cm} \noindent Page 80: Three places in Eqs. (4.152)\&(4.153), \,\, the lower integration limit $h$\,\, should be corrected to \, $-h$. % (2008-02-11) \vspace{0.2cm} \noindent Page 83, eq. (4.168): $32\,\,\!\times\,\!(10^{3} \mbox{ N } \,\widehat{=}\mbox{ 3.2 tons})$ \,\,\ should be \,\, $32\,\,\!\times\,\!10^{3} \mbox{ N } (\,\widehat{=}\mbox{ 3.2 tons})$ % (2002-04-26) %\vspace{0.2cm} \noindent Page 103, line 13: \,\, ``in Eq. (4.274),''\,\,\, should be \,\, ``in Eq. (4.273),'' % (2005-06-13) \vspace{0.2cm} %\vspace{0.2cm} \noindent Page 107, eq. (4.324): \vspace{-1.1cm} \begin{equation*} \hspace{4.2cm} \cos \left(\frac{\omega t - \omega^{2}\ell}{g}\right) \,\,\,\,\,\, \mbox{should be} \,\,\,\,\,\,\, \cos \, (\omega t - \omega^{2}\ell/g) \end{equation*} % (2007-08-15) \vspace{0.2cm} \vspace{-1.2cm} \noindent Page 110: Observe that there is no minus sign in line 3 from bottom: The line reads: $Z'_n(0) = \frac{\omega^2}{g}Z_n (0)$ % (2005-06-13) \vspace{0.2cm} \noindent Page 110, bottom line; and also page 111, line 2: \,\, $m_m$\,\, should be \, $m_n$. % (2008-02-11) \vspace{0.2cm} \noindent Page 112, Problem 4.8, line 3: \,\, $Ae^{-kx}$ \,\,\, should be \,\, $Ae^{-ikx}$ % (2002-08-29) \vspace{0.2cm} \noindent Page 115, Problem 4.12, two places on line 8: \,\, ``cos\ $h$''\,\,\, should be \,\, ``cosh'' % (2005-06-13) \vspace{0.2cm} \noindent Page 117, Problem 4.14, line 9: \,\, $\eta _r =$ \,\,\, should be \,\, $\hat{\eta}_r =$ % (2002-08-29) \vspace{0.2cm} \noindent Page 117, Problem 4.15, line 4: \,\, $\eta=$ \,\,\, should be \,\, $\hat{\eta}=$ % (2005-06-13) \vspace{0.2cm} \noindent Page 123, eq. (5.27): \,\, $F_{e,j}=$ \,\,\, should be \,\, $\hat{F}_{e,j}=$ % (2005-06-13) \vspace{0.2cm} \noindent Pages 131 and 132, in eqs. (5.77), (5.80), (5.81) and (5.86), a minus sign is missing on the right-hand side, thus: \, = \, should be \, = - % (2003-12-30) \vspace{0.2cm} \noindent Pages 133 and 135: On the graph of Figure 5.6 and on the upper right graph of Figure 5.7, the symbol $\varepsilon$ is used to indicate non-dimensionalised radiation resistance. It would have been better if, instead, the symbol $\epsilon$ had been used, because this is the symbol used in the two figure captions, and also in the main text on pages 125, 133, 134, 190, 191 and 192. (Alternatively, the symbol $\epsilon$ in the captions and in the main text could have been changed to $\varepsilon$.) % (2003-12-30) \vspace{0.2cm} \noindent Page 142, In line 4 of the caption to Figure 5.11: Replace $k_3/(\rho g a^2)$ by $k_3/(\pi \rho g a^2)$. % (2006-07-06) \vspace{0.2cm} \noindent Page 166: In the last term (the summation term) of Eq. (5.247): Replace $q$ by $q'$ and $j$ by $q$. Then Eq. (5.247) could preferably read: \begin{equation*} \hat{F}_{e,\, j} = \hat{F}_{e,q} \approx \rho g \hat{\eta}_{0} S_w \, \delta_{q3} + \rho V \hat{a}_{0q} + \sum_{q'=1}^3 m_{qq'} \hat{a}_{0q'} \end{equation*} Also in Eq. (5.248), $\hat{F}_{e,q}$ could preferably be replaced by $\hat{F}_{e,\, j} = \hat{F}_{e,q}$ % (2006-07-06) \vspace{0.2cm} \noindent Page 169, Figure 5.19: Below the indicated horizontal still-water surface, a few horizontal dashed lines (as e.g. in Figure 5.18) are missing in the vertical-section upper part of the Figure 5.19. % (2003-12-30) \vspace{0.2cm} \noindent Page 181: The title (heading) of Section 5.9 should be {\bf Motion Response}. Correspondingly, the page header on pages 181, 183 and 185 should only be: 5.9 MOTION RESPONSE % (2002-05-03) \vspace{0.2cm} \noindent Page 184, eq. (5.323): $S_b/(i\omega)$ \,\,\ should be \,\, $S_b/\omega$ % (2002-04-26) \vspace{0.2cm} %\pagebreak \noindent Page 194, Problem 5.15(b), line 4: ``heave velocity is given'' should be ``heave velocity is given as'' % (2003-12-30) \vspace{0.2cm} \noindent Page 207, line 7 below figure caption: $E_{u,P} > 0$ \,\,\ should be \,\, $W_{u,P} > 0$ % (2005-10-17) \vspace{0.2cm} \noindent Page 207, line 8 below figure caption: ``a principle$^{67}$ which'' \,\ should be \,\, ``a principle$^{66,67}$ which'' % (2007-08-15) \vspace{0.2cm} \noindent Page 211, lines 20, 21, 22 and 27 (four places): $E_{u,P}$ \,\,\ should be \,\, $W_{u,P}$ % (2005-10-17) \vspace{0.2cm} \noindent Page 211, lines 5-6: Replace ``The following paragraphs, as an example, give - - -'' by ``The following paragraph, as an example, gives - - -'' % (2003-12-30) \vspace{0.2cm} \noindent Page 214, second line below eq. (6.62): $\hat{\bf u}=\hat{\bf U}+\hat{\bdelta}$ \,\,\ should be \,\, $\hat{\bf u}=\bf U+\bdelta$ % (2002-04-26) \vspace{0.2cm} \noindent Page 256, fourth line above eq. (7.200): ``heave mode 2 (i.e.,'' \,\,\, should be \,\,\, ``heave mode (i.e.,'' % (2005-06-13) \vspace{0.2cm} \noindent Page 260, three last lines: Four places, \,\,\,\ $\hat{\bdelta}$ \,\,\ should be \,\, $\bdelta$ % (2002-04-26) \vspace{0.2cm} \noindent Page 272, left column: Between lines 27 and 28 insert: intrinsic mechanical impedance, 184, 203, 204 intrinsic mechanical resistance, 205 % (2006-07-06) %\noindent \vspace{0.2cm} \noindent Page 273, right column: Line 12 from below should read: %\noindent matrix singularity, 172, 174, 175, 181, 196, 213, 218, 221 % (2003-12-30) \vspace{0.2cm} \noindent Page 275, right column, line 6 from below: \,\, ``chanel'' \,\, should be \,\, ``channel'' % (2005-06-13) \vspace{0.2cm} % ============================================================ % ============================================================ %\vspace{0.5cm} %\vspace{0.1cm} \centerline{{\bf Comments, additional information, etc.}} %\vspace{0.5cm} \vspace{0.3cm} \noindent Page 26: Comment to the first line after eq. (2.128): Eq. (2.147) proves this statement of commutativity. % (2005-06-13) \vspace{0.4cm} \noindent Page 57: In the text of Problem 3.8, on the third line, ``Eqs. (3.42) - (3.45)'' could be changed to ``Eqs. (3.42) - (3.46)'' provided the following is added at the end of the expression on the second line: \,\,\,\,\,\, $ = 1 - |1 - 2R_r \hat u /\hat F_e|^2$ % (2007-08-15) \vspace{0.4cm} \noindent Page 185: In order to insert an additional comment, the second line after eq. (5.327) could be replaced by: \,\, %\newline \noindent ``cylinder is relatively high ($l/a \gg 1$). For the floating, truncated, vertical cylinder discussed in Subsection 5.2.4 (cf. Figure 5.7), condition $l/a \gg 1$ is not satisfied, and the added mass appears to exceed the value given by Eq. (5.327) by a factor in the range between 1.4 and 1.7. If $l \gg a$, we have $m_m \gg m_{33}$ and the angular''. % (2005-06-13) %\vspace{0.4cm} \noindent %Page 201, inequalities (2.13): \newline \noindent % (2003-12-30) Page 201, inequalities (6.13): \newline \noindent % (2005-06-13) When deriving inequality (6.14), Budal$^{67,68}$ considered a tall cylindrical body with relatively small water-plane area. Then, with optimum phase ($\gamma_3 = 0$), the heave amplitude $|\hat s_3|$ may be significantly larger than the wave amplitude $|A|$. Inequalities (6.13) are based on this assumption. However, for a wave-interacting low cylindrical body with relatively large water-plane area, the heave amplitude should not exceed the wave amplitude. Moreover, the excitation force amplitude is bounded by the body's buoyancy force at equilibrium in still water. In this case, inequalities (6.13) are to be replaced by %\begin{equation} % |\hat u_3| < \omega |A|, \,\,\,\,\,\,\,\,\,\,\,\,\,\, |\hat F_{e,3}| < \rho g V/2, \nonumber %\end{equation} \\ \centerline{$|\hat u_3| < \omega |A|, \,\,\,\,\,\,\,\,\,\,\,\,\,\, |\hat F_{e,3}| < \rho g V/2,$} \\ as suggested by Rod Rainey [Rainey, 2003, private communication]. This alternative to inequalities (6.13) leads, however, to the same fundamental result, Budal's upper bound (6.14). % (2003-12-30) \vspace{0.2cm} \noindent Page 205: The last line of Eq. (6.30) could alternatively be written as: \vspace{-0.2cm} \begin{equation*} = \frac{2}{\pi}\int_{0}^{\infty}\Big \{\frac{|F_e(\omega)|^2}{8R_i(\omega)}- \frac{\alpha(\omega)}{8R_i(\omega)}\Big \}\, d\omega \end{equation*} \vspace{-0.9cm} Corresponding changes in Eq. (6.33) and (6.35) would make comparison with Eq. (6.25) more direct and easy. % (2007-08-15) \vspace{0.2cm} \noindent Page 263, Bibliography, entry \# 7: \newline \noindent The review prepared by the ECOR (Engineering Committee on Oceanic Resources) Working Group on Wave Energy Conversion, has been published as a book by Elsevier 2003 under the title ``{\em Wave Energy Conversion}'' (ISBN 0-08-044212-9). % (2003-12-30) %\vspace{0.2cm} \vspace{-0.2cm} \noindent -------------------------------------------------------------------------------------------------- \vspace{-0.2cm} \noindent Errata list created 2002-04-26 (020426). %\,\,\,\, \newline \noindent Revised 020503/020829/031230/050204/050613/051017/060706/070815 %\vspace{0.9cm} %\vspace{0.3cm} %\noindent %-------------------------------------------------------------------------------------------------- %\noindent %Readers who find additional errors or misprints, are encouraged to report by e-mail to %\,\,\,\,\newline %johannes.falnes@ntnu.no \end{document}